text:
\section{Introduction}

That conformal symmetry\footnote{Classic references are \cite{MS,CCJ};
  see also \cite{K} for a comprehensive review of conformal invariance
  in field theory.} might play a key role in resolving the hierarchy
problem remains a distinct possibility, especially in view of the
remarkable fact that the standard model (=SM) of elementary particle
physics \cite{N,P} {\em is} classically conformally invariant, except
for the explicit mass term in the scalar potential that is commonly
introduced for electroweak symmetry breaking. In such a `conformal
scenario' the observed mass scales of particle physics and their smallness
{\it vis-\`a-vis} the Planck scale might be explained solely via the
quantum mechanical breaking of conformal symmetry, in accordance with
the naturalness criterion of \cite{tH} (see also \cite{Bardeen}).
Simultaneously with conformal symmetry, the electroweak $SU(2)_w\times U(1)_Y$
symmetry of the SM would have to be broken via radiative corrections
by means of the Coleman-Weinberg (=CW) mechanism \cite{CW,Sher}.

While it is still not clear whether this idea can be made to work
in the realistic context of the SM, a main objection that has been
raised against it is that the SM couples to gravity and must eventually
merge into a theory of quantum gravity at the Planck scale.
Einstein's theory (with SM-like matter couplings) is certainly
{\em not} conformally invariant due to the presence of the dimensionful
coupling $\kappa = M_P^{-1}$, and it is therefore far from evident how
a classically conformal Lagrangian might arise out of such a theory
at low energies. For this reason, recent and not so recent attempts
to incorporate scale invariance have proceeded from the assumption
that the `true' theory of gravity might be conformal (Weyl) invariant
gravity, that is, a theory invariant under {\em local} rescalings
of the metric and the matter fields, out of which Einstein's theory
might emerge only after spontaneous breaking of scale invariance
(see \cite{BD,BB} for an early proposal along these lines and for an
{\it entr\'ee} into the literature, and \cite{SZ,NR} for more recent work).
Such a theory would ultimately also be expected to involve terms
quadratic in the Weyl tensor. However, apart from the known difficulties
with $(Weyl)^2$ theories of gravity, the known ans\"atze at unification
in general do not give rise to effectively Weyl invariant low energy
theories\footnote{A possible exception is maximally extended conformal
  $N=4$ supergravity in four dimensions \cite{BdWdR}, but the status
  of this theory remains very unclear.}, despite the ubiquity of
dilaton-like fields in supergravity and superstring theory. For this
reason we here suggest a different route by exploring whether and under
what circumstances it may be possible to get a classically conformal
theory out of {\em non-conformal} Einstein gravity or some of its
supersymmetric extensions.

The specific example we focus on is the conformal theory {\em par
excellence}, maximally supersymmetric $N=4$ Yang-Mills theory in
four dimensions with compact gauge group $G$ \cite{BSS,GOS}. We will
demonstrate explicitly how this theory can be obtained as a
conformal limit of a non-conformal  theory, namely gauged $N=4$
supergravity \cite{BKS,dRW,SW} as $\kappa\rightarrow 0$. Our
construction is inspired by a recent re-derivation from gauged
supergravities in three dimensions \cite{BdRHR,BHRS} of the
conformally invariant and globally supersymmetric ($N\leq 8$) models
thought to describe multiple M2 branes. To be sure, the present
construction only furnishes an `existence proof': the example of
$N=4$ super Yang Mills theory `overshoots' in that this theory is UV
finite to all orders \cite{finite1,finite2,West1}, hence exactly,
{\it i.e.} quantum mechanically conformal. Furthermore, the unbroken
supersymmetry entails that there can be no radiative symmetry
breaking \cite{FL,West}. Nevertheless, the derivation of this model
from a non-conformal theory of gravity does illustrate our main
point.

The present article is thus complementary to our recent proposal
\cite{MN1,MN4} to implement the CW mechanism in the SM~\footnote{There
  is a large literature on this subject, see e.g. \cite{Einhorn1} for
  references to earlier work.}. That work rests on two basic assumptions,
namely $(i)$ the absence of intermediate mass scales between the weak
scale and the Planck scale $M_P$; and $(ii)$ the requirement that the
RG evolved couplings exhibit neither Landau poles nor instabilities
over this whole range of energies. The first assumption (which is obviously
subject to experimental falsification) is necessary because any large
intermediate scale appearing in a quantum field theoretic context (such
as a GUT scale at $10^{16}\,{\rm GeV}$) is evidently at odds with classically
unbroken conformal invariance. The second hypothesis is to ensure the
`survival' of  the SM up to the Planck scale. As shown in \cite{MN1} this
requirement implies strong restrictions on the SM parameters. A further
important feature is that it may make electroweak symmetry breaking
mandatory due to the indirect coupling of the scalars to the strong
interactions \cite{MN4}.

The present ansatz based on classically unbroken conformal symmetry thus
pursues the same goal as low energy supersymmetry models, namely to explain
the emergence and stability of small scales in particle physics. In both
scenarios we must {\em assume} that the Planck scale theory of quantum
gravity is sufficiently benign so as not to affect low energy physics
in too drastic a manner. In supersymmetric models this is achieved in
part via the cancellation of quadratic divergences. However, in addition
to having to introduce a multitude of new (and so far unobserved) particles
and couplings one faces the notorious problem that supersymmetry  is
impossible to break spontaneously in a way that would fully conform
with low energy physics: in all `realistic'  scenarios, it must be
broken explicitly {\em by hand}, but there is no explanation why the soft
breaking terms are not Planck scale. By contrast, (classical) conformal
symmetry is not as averse to breaking by quantum effects, and allows
for greater economy in low energy model building. There, it is the
(postulated) structure of the anomalous Ward identity \cite{Bardeen}
(see eqn.~(\ref{Ward}) below) which ensures the absence of quadratic
divergences, hence of Planck scale mass terms and a Planck scale cosmological
constant in the low energy effective action. Consequently, mass terms and
symmetry breaking would arise solely from the logarithmic terms in the
effective potential induced by quantum corrections {\`a la}
Coleman--Weinberg. In this perspective the main issue is not only to
explain the embedding of the SM into an UV complete theory of quantum
gravity and quantum space-time, but also to understand how a UV finite
Planck scale theory can produce conformally anomalous corrections to
a classically conformal low energy effective action. Even though we have
so far no working model, we would thus expect that the CW mechanism in a
UV finite theory must undergo a metamorphosis and be replaced a gravitational
analog, in such a way that $\kappa^{-1}$ acts as the effective cutoff. Conformal
symmetry would then be broken not because of the need to regulate UV
divergences, but because the quantum gravity theory into which the SM is
embedded is itself {\em not} conformal, but leaves its footprint in the
low energy effective action only in the form of logarithmic corrections.

This paper is organized as follows. In section~2 we review the basics of
gauged $N=4$ supergravity, and in section~3 we explain in detail how
to take the flat space limit of this theory in such a way that a classically
conformal theory emerges; these two sections contain our main technical
results. In the final section, we restate our main conjecture and discuss
possible avenues towards its solution.

\section{N=4 gauged supergravities}

In this section we review $N=4,d=4$ supergravities and their most general
gaugings \cite{BKS,dRW,SW}. For details we refer readers to \cite{BKS} whose
conventions and notations we follow almost without exception.~\footnote{We
  use $\alpha,\beta,\dots$ rather than $m,n,\dots$ for flat (Lorentz) indices
  in four dimensions.} The most general $N=4$  theory couples the
 gravitational $N=4$ multiplet
\begin{equation}\label{gravmult}
1{\times\!} \left[2 \right] \,\oplus\, 4{\times\!}\left[\ft32\right] \,\oplus\,
6{\times\!} \left[1\right] \,\oplus\, 4{\times\!}\left[\ft12\right] \,\oplus\,
2{\times\!} \left[0\right]
\end{equation}
to $n$ vector multiplets of $N=4$ supersymmetry
\begin{equation}\label{vectmult}
n \times \bigg( 1{\times\!} \left[1\right] \,\oplus\, 4{\times\!}\left[\ft12\right] \,
  \oplus\,   6{\times\!} \left[0\right] \bigg)
\end{equation}
where the spin is indicated in square brackets as $[s]$. The scalar
sectors describing the self-interactions of the two gravitational
scalars and the $6n$ scalars from the vector multiplets are governed
by non-linear $\sigma$-models over the coset spaces $SU(1,1)/U(1)$ and
$SO(6,n)/SO(6)\times SO(n)$, respectively. Here $SO(6)\cong SU(4)$
is part of the R symmetry $U(4)$ that rotates the four supercharges
\cite{Fer}, while $SO(n)$ acts as an outer automorphism that rotates
the $n$ vector multiplets. The gravitational coset $SU(1,1)/U(1)$ is
parametrized by one complex field $Z(x)$ and its complex conjugate
$Z^*(x)$ subject to the constraint $ZZ^*<1$, while the $6n$ matter
scalars coordinatize the second factor $SO(6,n)/SO(6)\times SO(n)$.
More concretely, the latter is described by a matrix $L_I{}^A(x)$
with curved indices $I,J,\dots$ and flat indices $A,B,\dots$
assuming the values $1,\dots,6+n$. This matrix transforms in the
usual way as
\begin{equation}
L(x) \rightarrow g L(x) h(x)\qquad
\mbox{with $g\in SO(6,n)$ and $h(x)\in SO(6)\times SO(n)$}
\end{equation}
under rigid $SO(6,n)$ and under local $SO(6)\times SO(n)$.
For the further analysis we need to split the (flat) matrix indices as
\begin{equation}
L_I{}^A = \big(L_I{}^{ij}, L_I{}^a \big)\qquad i,j=1,...,4 \;,\;\;
   a=1,\dots , n
\end{equation}
with the $SO(n)$ indices $a,b,\dots$. For the first six components,
we have exploited the local isomorphism $SO(6)\cong SU(4)$ to replace
the $SO(6)$ vector indices by an antisymmetric pair $[ij]$ of $SU(4)$
indices with the self-duality constraint
\begin{equation}
L_I{}^{ij} = (L_{I\,ij})^* = \frac12 \varepsilon^{ijkl} L_{I\,kl}
\end{equation}
(We are here using the standard convention that complex conjugation
of the $SU(4)$ tensors corresponds to raising or lowering indices,
while the position of the $SO(n)$ indices does not matter.) The
inverse matrix $L^I{}_A$ then obeys $L_I{}^A L_A{}^J = \delta_I^J$, or
\begin{equation}
- L_I{}^{ij} L_{J\,ij} + L_I{}^a L_{J\,a} =  \eta_{IJ}\;\;,\quad
L_I{}^{ij} L^I{}_{kl} = \delta^{ij}_{kl} \;\;,\quad
L_I{}^a L^I{}_{ij} = 0
\end{equation}
where
\begin{equation}
\eta_{IJ} = {\rm diag}\, \big( -1,-1,-1,-1,-1,-1\,;\, +1, \cdots, +1 \big)
\end{equation}
is the Cartan-Killing metric on $SO(6,n)$.
The bosonic fields of the theory thus consist of the vierbein
$e_\mu{}^\alpha$ (with the metric $g_{\mu\nu} = e_\mu{}^\alpha e_{\nu\alpha}$),
the $(6+n)$ vector fields $A_\mu{}^I$ and the scalars $(Z,Z^*)$
and $L_I{}^A$. The fermionic sector contains four gravitinos
$\psi_\mu^i$, four `dilatinos' $\chi^i$ and $4n$ spin-$\frac12$
matter fermions $\lambda^{ai}$; these fermionic fields are subject to
\begin{equation}
\gamma^5 \psi_\mu^i = + \psi_\mu^i \;\; , \quad
\gamma^5 \chi^i = - \chi^i \;\; , \quad \gamma^5 \lambda^{ai} = + \lambda^{ai}
\end{equation}
With the gravitational coupling (=inverse Planck mass) $\kappa$ of
(length) dimension $cm$, the canonical dimensions of these fields
and the supersymmetry parameters $\varepsilon^i$ are as follows:
\begin{eqnarray}
[g_{\mu\nu}] &=&[e_\mu{}^\alpha] =  [L_I{}^A] = [Z] = 0 \;\; ,
\quad [A_\mu{}^I] = -1 \nonumber\\
{} [ \psi_\mu^i] &=& [\chi^i] = [\lambda^{ai}] = -3/2 \;\; , \quad
[\varepsilon^i] = + 1/2
\end{eqnarray}
In passing we note that the torus reduction of pure half maximal $D=10$
supergravity from ten to four dimensions would give rise to a theory with
six vector multiplets and thus 12 vectors $A_\mu{}^I$, with the first
six vectors corresponding to the Kaluza-Klein vectors arising from
the $D=10$ metric $G_{MN}$, and the remaining six from the 2-form
field $B_{MN}$. The resulting theory would thus yield the coset
space $SO(6,6)/SO(6)\times SO(6)$.

The Lagrangian of the theory is obtained in the usual way by means of the
Noether procedure \cite{BKS}. We will here give it right away for the
{\em gauged} theory. This means that one promotes a subgroup of the global
(rigid) symmetry group $SO(6,n)$ to a local group using the vector fields
$A_\mu{}^I$ as Yang-Mills fields. In order to preserve the local $N=4$
supersymmetry of the original (ungauged) Lagrangian certain consistency
conditions must be obeyed.

Let us first present the Maurer-Cartan forms. For the coset $SU(1,1)/U(1)$
they are given by
\begin{equation}
Q_\mu = -\frac12 \big( \Phi\partial_\mu\Psi^* + \Psi\partial_\mu\Phi^* \big)
\;\; , \quad
P_\mu = \frac12 \big( \Phi\partial_\mu\Psi - \Psi\partial_\mu\Phi\big)
\end{equation}
with
\begin{equation}\label{Z}
\Phi := \frac{1-Z^*}{\sqrt{1- ZZ^*}} \;\; , \quad
\Psi := \frac{1+ Z^*}{\sqrt{1-ZZ^*}}
\end{equation}
Here the (imaginary) vector $Q_\mu$ is the $U(1)$ connection while
the vector $P_\mu$ corresponding to  the two coset degrees
of freedom is complex. For the matter coset $SO(6,n)/SO(6)\times SO(n)$
the Maurer-Cartan forms are
\begin{eqnarray}\label{MC}
P_{\mu\,a}{}^{ij} &=& L^I{}_a \Big(\partial_\mu \delta_I^K +
     f_{IJ}{}^K A_\mu^J\Big) L_K{}^{ij} \nonumber\\
Q_{\mu\,ab} &=& L^I{}_a \Big(\partial_\mu \delta_I^K +
     f_{IJ}{}^K A_\mu^J\Big) L_{K\,b} \nonumber\\
Q_{\mu\,j}{}^{i} &=& L^{I\,ik} \Big(\partial_\mu \delta_I^K +
     f_{IJ}{}^K A_\mu^J\Big) L_{K\, kj}
\end{eqnarray}
Here we have already included the gauge couplings via the structure
constants $f_{IJK}$ of the gauge group (we absorb the gauge coupling
constants into $f_{IJK}$). The integrability (Maurer-Cartan) relations
that follow from this definition are given in eq.~(10) of \cite{BKS}.
The structure constants must be completely antisymmetric after lowering
the index $K$ \cite{BKS}
\begin{equation}
f_{IJ}{}^L \eta_{KL} = f_{[IJ}{}^L \eta_{K]L}
\end{equation}
The quantities $(Q_{\mu\,ab}, Q_{\mu j}{}^i)$ are the `composite' gauge
connections for the local $SO(6)\times SO(n)$. In the ungauged theory
($f_{IJK}=0$) the fermions couple to the scalar fields {\em only} via
the $Q$'s and $P$'s. The full covariant derivatives are
\begin{eqnarray}
D_\mu \psi_\nu^i &= & \partial_\mu \psi_\nu^i +
    \frac14 \omega_\mu{}^{\alpha\beta} \gamma_{\alpha\beta} \psi_\nu^i
    - \frac12 Q_\mu \psi^i_\nu \nonumber\\
D_\mu \chi^i &=& \partial_\mu \chi^i +
   \frac14 \omega_\mu{}^{\alpha\beta} \gamma_{\alpha\beta} \chi^i
    + Q_{\mu\j}{}^i \chi^j  + \frac32 Q_\mu \chi^i \nonumber\\
D_\mu \lambda^i_a &=& \partial_\mu \lambda^i_a + \frac14 \omega_\mu{}^{\alpha\beta}
   \gamma_{\alpha\beta} \lambda^i_a + Q_{\mu\, a}{}^b \lambda^i_b +
   Q_{\mu\,j}{}^i \lambda^j_a + \frac12 Q_\mu \lambda^i_a
\end{eqnarray}
with the usual spin connection $\omega_\mu{}^{\alpha\beta}(e)$.
The quantities $P_\mu$ belonging to the coset, on the other hand,
appear in the kinetic terms of the scalar fields and in the Noether
couplings to the fermions.

While the ungauged theory has only derivative couplings to the scalar
fields, in the gauged theory there appear Yukawa-like couplings  of
the fermions as well as a (non-linear) potential for the scalar fields.
These new couplings (which vanish when the gauge couplings are set to zero)
involve the dimensionless quantities
\begin{eqnarray}\label{C}
C_{ij} &:=& f_{IJK}  L^I{}_{ik} L^J{}_{jl} L^{K\,kl} = C_{ji} \nonumber\\
C_{aj}{}^i &:=& f_{IJK} L^{I\, ik} L^J{}_{kj} L_{K\,a} \nonumber\\
C_{ab}{}^{ij} &:=& f_{IJK} L^I{}_a L^J{}_b L^{K\,ij} = - C_{ba}{}^{ij}
\end{eqnarray}
These are just a variant of the so-called `T tensor' introduced
in \cite{dWN}. The preservation of local supersymmetry then requires
that the following identities must be satisfied
\begin{eqnarray}
C^{ai}{}_k C_{aj}{}^k - \frac49 C^{ik} C_{kj} - {\rm trace} &=& 0 \nonumber\\
C^{ab}{}_{k(i} C_{bj)}{}^k - \frac23 C^{ak}{}_{(i} C_{j)k} &=& 0
\end{eqnarray}
In addition, these tensors must satisfy the differential identities
given in eq.~(12) of \cite{BKS}. Together these identities restrict
the possible choices of consistent gauge groups $\subset SO(6,n)$.
While only specific examples were studied in \cite{BKS,dRW}, more
recent work \cite{SW} based on embedding tensor techniques (see
\cite{dWNS} and references therein) has led to a more systematic
classification of gauge groups (which can be compact, non-compact
or non-semisimple). As a special case one also recovers the theories
obtained by torus reduction of $D=10$ supergravity coupled to $k$
vector multiplets with a Yang Mills gauge group $G$ of dimension
$= k$. This would give global $SO(6,6+k)$ in four dimensions
such that $G\subset U(1)^6\times SO(k)$.

Modulo terms quartic in the fermions the full Lagrangian has been
derived in \cite{BKS,dRW} and we here simply quote the result from
\cite{BKS}. Because we are here interested in the flat space limit
we re-instate the dimensionful coupling $\kappa$ in all formulas.
We split the Lagrangian as
\begin{equation}
{\cal{L}} = {\cal{L}}_0 + {\cal{L}}_{gauge}
\end{equation}
with
\begin{eqnarray}\label{L0}
e^{-1}{\cal{L}}_0  &=& \frac1{2\kappa^2} R -
    \bar{\psi}_\mu^i \gamma^{\mu\nu\rho} D_\nu \psi_{\rho i}
   - \frac12 a_{IJ} F_{\mu\nu}^{+}{}^I  F_{\mu\nu}^{+}{}^J \nonumber\\
          && -\, \frac12 \bar{\chi}^i \gamma^\mu D_\mu \chi_i -
        \frac1{\kappa^2 }P_\mu^* P^\mu
       -\frac12 \bar{\lambda}^{ai} \gamma^\mu D_\mu \lambda_{ai}
       - \frac1{\kappa^2}P_\mu^{a ij} P^\mu_{a ij} \nonumber\\
     && + \, \bar{\chi}^i\gamma^\mu\gamma^\nu \psi_{\mu i} P^*_\nu
       - 2i \bar{\lambda}^{ai} \gamma^\mu\gamma^\nu \psi_\mu^j P_{\nu \, aij} \nonumber\\
    && + \, \kappa \Phi^{-1} F_{\mu\nu}^+{}^I
       \Big[ \frac{i}2 \bar{\psi}^\lambda_i \gamma_{[\lambda} \gamma^{\mu\nu} \gamma_{\tau]}
       \psi_j^\tau L_I{}^{ij} -
\frac{i}2 \bar{\psi}^{\lambda i} \gamma^{\mu\nu} \gamma_\lambda \chi^j L_{I\,ij} \nonumber\\
&& \quad +\, \frac12 \bar{\psi}_{\lambda i} \gamma^{\mu\nu} \gamma^\lambda \lambda^{ai} L_{Ia}
     + \frac12 \bar{\lambda}^a_i \gamma^{\mu\nu} \chi^i L_I{}^a
     + \frac{i}2 \bar{\lambda}^{ai} \gamma^{\mu\nu} \lambda^{aj} L_{I\,ij} \Big]
 \nonumber\\
    && + \; h.c.
\end{eqnarray}
with
\begin{eqnarray}
F_{\mu\nu}{}^I &:=& \partial_\mu A_\nu{}^I - \partial_\nu A_\mu{}^I
       + f^I{}_{JK} A_\mu{}^J A_\nu{}^K \nonumber\\
F^\pm_{\mu\nu} &:=& \frac12 \left( F_{\mu\nu} \pm \frac{i}2 \varepsilon_{\mu\nu\rho\sigma}
                                       F^{\rho\sigma}\right)
\end{eqnarray}
and
\begin{equation}
a_{IJ} := \frac{1+Z}{1-Z^*} L_I{}^{ij} L_{J\, ij}
          + \frac{1+Z^*}{1-Z} L_I{}^{a} L_{J\, a}
\end{equation}
All terms proportional to the gauge couplings are assembled into
${\cal{L}}_{gauge}$ (and thus absent in the ungauged theory), {\it viz.}
\begin{eqnarray}\label{Lg}
e^{-1} {\cal{L}}_{gauge} &=& -\frac{2i}{3\kappa} \Phi C_{ij}
   \left( \bar{\psi}^i_\mu \gamma^{\mu\nu}
   \psi_\nu^j - \bar{\psi}_\mu^i\gamma^\mu \chi^j -
   \bar{\lambda}^{ai} \lambda^j_a \right) \nonumber\\
 && +\,\frac{2i}{\kappa} \Phi C_{aj}{}^i
     \left( \bar{\psi}^j_\mu\gamma^\mu \lambda^a_i +
     \bar{\chi}^j \lambda^a_i \right)
    - \frac{2i}{\kappa} \Phi C_{ab}{}^{ij} \bar{\lambda}^a_i \lambda^b_j \nonumber\\
 && -\frac1{2\kappa^4}  \Phi^*\Phi \left( C_{aj}{}^i C^{aj}{}_i -
      \frac49 C^{ij} C_{ij} \right) + h.c.
\end{eqnarray}
The last term in (\ref{Lg}) is the {\em scalar potential}: as is obvious
from the expression given it is unbounded from below --- a standard
feature of gauged supergravity potentials.

The local supersymmetry variations are given by (modulo cubic terms)
\begin{eqnarray}\label{SV}
\delta e_\mu{}^\alpha &=& \kappa \bar\varepsilon^i \gamma^\alpha\psi_{\mu i} + h.c. \nonumber\\
\delta \psi_\mu^i  &=& \frac1{\kappa} D_\mu \varepsilon^i +
\frac{i}{2\Phi} \gamma^{\mu\nu} F_{\mu\nu}{}^I L_I{}^{ij} \varepsilon_j
     + \frac{2i}{3\kappa^2} \Phi^* \gamma_\mu C^{ij} \varepsilon_j \nonumber\\
\delta A_\mu^I &=& - 2i L^I{}_{ij} \left( \bar{\varepsilon}^i \psi_\mu^j -
    \frac12 \bar{\varepsilon}^i \gamma_\mu \chi^j\right)
    + \Phi L^I{}_a \bar{\varepsilon}^i \gamma_\mu \lambda^a_i  + h.c. \nonumber\\
\delta L^{Ia} &=& 2i\kappa L^I{}_{ij} \bar{\varepsilon}^i \lambda^{aj} + h.c. \nonumber\\
\delta L^I{}_{ij} &=& -2i \kappa \bar{\varepsilon}_{[i} \lambda^a_{j]} L^I{}_a -
   {\rm dual} \nonumber\\
\delta \chi^i &=& \frac{i}{\Phi^*} \gamma^{\mu\nu} F_{\mu\nu}{}^I L_I{}^{ij} \varepsilon_j
    + \frac2{\kappa} \gamma^\mu P_\mu \varepsilon^i + \frac4{3\kappa^2} \Phi C^{ij} \varepsilon_j \nonumber\\
\delta \lambda^{ai} &=& -\frac1{2\Phi^*} \gamma^{\mu\nu} F_{\mu\nu}{}^I L_I{}^a \varepsilon^i
    + \frac{2i}{\kappa} \gamma^\mu P_\mu{}^{a\,ij} \varepsilon_j
    -\frac{2i}{\kappa^2} \Phi C^{ai}{}_j \varepsilon^j \nonumber\\
\delta \Phi &=& - \kappa\Phi^* \bar{\varepsilon}_i \chi^i
\end{eqnarray}

\section{The conformal limit}

For the flat space limit we take $\kappa\rightarrow 0$.
With the usual metric ansatz
\begin{equation}\label{gmunu}
g_{\mu\nu} = \eta_{\mu\nu} + \kappa h_{\mu\nu}
\end{equation}
the curved space-time is flattened out in this limit, and gravity
decouples from the matter fields. Next, we must make sure that not
only gravity, but the full gravitational supermultiplet decouples
from the $n$ vector multiplets in this limit. The gravitino variation
contains the derivative on $\varepsilon^i$, which comes with a factor of $\kappa^{-1}$;
to keep this finite in the limit we must demand
\begin{equation}\label{De}
D_\mu \varepsilon^i = 0 \;\; \Rightarrow\quad \varepsilon^i(x) = const
\end{equation}
As expected, the limiting theory, if it exists, can only be
globally (rigidly) supersymmetric. For the scalar fields, we have
a formula analogous to (\ref{gmunu}),
 \begin{equation}
Z = \kappa z \;\; , \quad
L_I{}^A = \left(\exp \big(\kappa \phi \big)\right)_I{}^A =
\delta_I^A + \kappa \phi_I{}^A + \dots
\end{equation}
where the redefined scalar fields $z$ and $\phi_I{}^A$ are now of
dimension $(cm)^{-1}$ (like the vector fields) and the range of $z$
becomes $|z|<\kappa^{-1}$. In the limit $\kappa\rightarrow 0$ both cosets
are thus flattened; in particular, from (\ref{Z}) we see that the
fields $Z(x)$ decouple and $\Phi,\Psi\rightarrow 1$. Furthermore,
\begin{equation}
SO(6,n)/SO(6)\times SO(n) \longrightarrow {\mathbb{R}}^{6n}
\end{equation}
In the triangular gauge (where the `diagonal' components of $\phi_I{}^A$
vanish), the $6n$ scalar fields $\phi_a{}^{ij}$ from the $n$ vector
multiplets thus become coordinates of ${\mathbb{R}}^{6n}$. For the
matrix $L_I{}^A$ we obtain
\begin{equation}\label{Lka}
L_{ij}{}^{kl} = \delta_{ij}^{kl} + {\cal{O}}(\kappa^2) \;\; , \quad
L_{{a}}{}^b = \delta_a^b + {\cal{O}}(\kappa^2) \;\; , \quad
L_a{}^{ij} = \kappa \phi_a{}^{ij} + {\cal{O}}(\kappa^3)
\end{equation}
(for notational simplicity, we do not distinguish anymore between flat
and curved indices here).

To obtain a {\em conformal theory}, however, (\ref{gmunu}) is not enough.
To see that extra requirements are needed we note that non-compact and
non-semisimple gaugings (the latter were not considered in \cite{BKS,dRW},
but see \cite{SW}) cannot yield a conformal limit: both of these gaugings
would involve Lie algebra generators in the non-compact part of $SO(6,n)$,
and thus mix the six gravitational with the $n$ matter multiplet vectors
in such a way that the gravitational vectors cannot decouple. This can
be directly seen by expanding the Maurer-Cartan connections, cf. (\ref{MC}),
making use of (\ref{Lka})
\begin{eqnarray}
Q_{\mu\,ab} &=& f_{abc} A_\mu{}^c + f_{ab\,ij} A_\mu{}^{ij} + {\cal{O}}(\kappa^2)
     \nonumber\\
Q_{\mu\,j}{}^i &=& f_{jk \; lm}{}^{ik} A_\mu{}^{lm} +
             f_{jk\, c}{}^{ik} A_\mu{}^c + {\cal{O}}(\kappa^2)
\end{eqnarray}
In order to decouple the six vectors from the gravitational multiplet
(\ref{gravmult}) we must therefore demand that all components of $f_{IJK}$
vanish except for $f_{abc}$. In other words the gauge group must be
entirely contained in the $SO(n)$ symmetry group that rotates the $n$
vector multiplets (\ref{vectmult}) and commutes with the local $N=4$
supersymmetry; that is, we have~\footnote{An analogous restriction
  is found in the construction of \cite{BdRHR,BHRS}, and explains
  why only free field theories (which are trivially conformal)
  can arise when this limit is applied to $D=3$ gauged supergravities with
  $N>8$, that is, why globally supersymmetric interacting conformal
  theories in three dimensions exist only for $N\leq 8$. Here it follows
  similarly that no non-trivial flat space limit with residual rigid
  supersymmetry exists for $N>4$ supergravities in four dimensions.}
\begin{equation}\label{GSO(n)}
G\subset SO(n) \subset SO(6,n) \quad , \qquad {\rm dim}\, G = n
\end{equation}
Let us mention that the exclusion of non-compact and non-semisimple gauge
groups also ensures the positive definiteness of the kinetic terms of the
vector fields (whereas otherwise the flat space limit would suffer from
indefinite kinetic terms, unlike the original supergravity theory where
non-compact or non-semisimple gauge groups are compatible with positive
kinetic terms for the gauge fields). According to \cite{BKS} one possible
set of consistent gaugings is obtained with gauge groups $SU(2)\times SU(2)
\times G$ where $SU(2)\times SU(2)\subset SO(6)$, and $G$ is of dimension $n$;
the relevant gaugings here are thus obtained by setting the $SU(2)$
gauge couplings equal to zero. For the theories obtained by dimensional
reduction of $D=10$ type I supergravity coupled to $k$ vector multiplets
to four dimensions we have $G= U(1)^6\times H \subset SO(6+k)$ where
$H$ is the (compact) gauge group in ten dimensions.

Let us now return to the Lagrangian and supersymmetry variations.
First, we note that with (\ref{GSO(n)}), $L_I{}^A = \delta_I{}^A$
(where $\phi_a{}^{ij} = 0$) is a fully supersymmetric stationary point
with vanishing cosmological constant. Namely, from (\ref{C}) it follows
immediately that all $C$-tensors vanish at this point, hence both
the extremization and the supersymmetry condition eqs.~(20) and (21) of
\cite{BKS} are trivially satisfied (this would not be so for other
choices of $G$). Let us then discuss the terms that decouple `trivially',
namely all those terms in (\ref{L0}) and (\ref{SV}) that do not involve
the gauge couplings, and hence are independent of the choice of gauge
group. With (\ref{gmunu}) the vierbein variation obviously reduces to
that of a free spin-2 field. In the gravitino variation, the first term
is absent due to (\ref{De}) while the second term starts at ${\cal{O}}(1)$.
Splitting the index $I$, we see that the field strengths $F_{\mu\nu}{}^{ij}$
of ${\cal{O}}(1)$ belong to the gravitational multiplet. The coupling to the
matter vectors $A_\mu{}^a$, on the other hand, occurs via the matrix
element $L_a{}^{ij}$; by (\ref{Lka}) it is therefore suppressed by
an extra factor of $\kappa$, hence vanishes in the limit, as required.
The same mechanism is at work in the variation $\delta A_\mu{}^I$: the
Kaluza Klein vectors pair up with $\big(\psi_\mu^i,\chi^i\big)$ while
the $6n$ matter vector terms have at least one extra factor of $\kappa$.
The remaining variations are dealt with similarly. Idem for the
gauge-independent terms collected in the Lagrangian (\ref{L0}); for
instance, with (\ref{GSO(n)}) the coset part of the Mauer Cartan form becomes
\begin{equation}
P_{\mu\,a}{}^{ij} = \kappa{\cal D}_\mu \phi_a{}^{ij} + {\cal{O}}(\kappa^3) \equiv
\kappa\left( \partial_\mu \phi_a{}^{ij} +
             f_{abc} A_\mu{}^b \phi^{c\,ij}\right)  + {\cal{O}}(\kappa^3)
\end{equation}
hence
\begin{equation}
\frac1{\kappa^2} P_\mu^{a\,ij} P^\mu_{a\,ij} =
{\cal D}_\mu \phi_a{}^{ij} {\cal D}^\mu \phi^a{}_{ij} + {\cal{O}}(\kappa^2)
\end{equation}
and the scalar kinetic term acquires the requisite form for
$\kappa\rightarrow 0$. Again it is straightforward to see that all the
other matter terms with derivative scalar couplings decouple from the
supergravitational degrees of freedom in this limit.

The `non-trivial' terms are the ones involving the gauge couplings and the
non-derivative scalar couplings. In order to analyze the relevant
contributions we expand the $C$-tensors of (\ref{C}) in terms of the $6n$
scalars $\phi_a{}^{ij}$ in (\ref{Lka}). From inspection of the scalar
potential and the Yukawa terms in (\ref{Lg}) we see that the potentially
dangerous contributions are the ones involving inverse powers of $\kappa$,
and we must therefore ensure that these terms are absent before taking
$\kappa\rightarrow 0$. With the choice of gauge group (\ref{GSO(n)}) we find
\begin{eqnarray}
C_{ij} &=& \kappa^3 f_{abc} \phi_{a\,ik} \phi_{b\, jl} \phi_c{}^{kl}
  + {\cal{O}}(\kappa^4) \nonumber\\
C_{aj}{}^i &=& \kappa^2 f_{abc} \phi_b{}^{ik} \phi_{c\,jk} + {\cal{O}}(\kappa^3)  \nonumber\\
C_{ab}{}^{ij} &=& \kappa f_{abc} \phi_c{}^{ij} + {\cal{O}}(\kappa^2)
\end{eqnarray}
Again we see that the choice of gauge group is crucial in order to
ensure consistency of the decoupling limit: if there was a
non-vanishing structure constant $f_{ab\,ij}$ mixing the $SO(6)$ and
$SO(n)$ subgroups $C_{ij}$ would start at ${\cal{O}}(\kappa^2)$ instead, and for
instance the scalars would not decouple in the gravitino variation and
other terms. We next substitute these expansions into the Lagrangian
and the supersymmetry variations. For the potential we get
\begin{equation}\label{Pot}
 \frac1{2\kappa^4}  \Phi^*\Phi \left( C_{aj}{}^i C^{aj}{}_i -
      \frac49 C^{ij} C_{ij} \right) =
\frac12 f_{abe} f_{cde} \phi^{a\,ik} \phi^b{}_{jk} \phi^{c\,jl} \phi^d{}_{il}
+ {\cal{O}}(\kappa)
\end{equation}
To see that this is just the usual potential of $N=4$ Yang Mills
theory in terms of six real Lie algebra valued scalar fields $X^{m\,a}$
(with $m,n=1,\dots,6$) we make use of the six real antisymmetric
matrices $(\alpha^r_{ij},\beta^r_{ij})$ for $r=1,2,3$ (explicit expressions
are given, for instance, in \cite{BSS,GOS})
\begin{equation}
\phi^a{}_{ij} = \sum_{r=1,2,3} \left( \alpha^r_{ij} X^{r\,a} +
               i\beta^r_{ij} X^{(r+3)\, a} \right)
\end{equation}
whence the ${\cal{O}}(1)$ term in (\ref{Pot}) reduces to the standard
expression
\begin{equation}
f_{abe} f_{cde} \phi^{a\,ik} \phi^b{}_{jk} \phi^{c\,jl} \phi^d{}_{il}
 \, \propto \, {\rm Tr} \left([X^m , X^n]\right)^2\, .
\end{equation}
Conveniently, the conformal limit also disposes of the term
$\propto C^{ij} C_{ij}$ which makes the potential unbounded
from below. Again it is easy to see that the unboundedness of
the potential would persist with the `wrong' choice of gauge group.

In an analogous fashion we can show that in the Yukawa-like terms
in the Lagrangian only the term containing $C_{ab}{}^{ij}$ survives
the limit, and we end up with
\begin{equation}
-\frac{2i}{\kappa} C_{ab}{}^{ij}\bar{\lambda}^a_i\lambda^b_j =
- {2i}f_{abc} \phi^{c\,ij}\bar{\lambda}^a_i\lambda^b_j + {\cal{O}}(\kappa)
\end{equation}
As before it follows that
\begin{equation}
f_{abc} \phi^{c\,ij}\bar{\lambda}^a_i\lambda^b_j + h.c.
\; \propto \; {\rm Tr} \, \bar{\lambda} \Gamma^m [ X^m, \lambda ]
\end{equation}
(where $\Gamma^m$ are the $SO(6)$ $\Gamma$-matrices), and similarly for
the remaining terms in the Lagrangian.

\section{Metamorphosis of the CW mechanism?}

As we already pointed out, the example of $N=4$ super Yang Mills falls
short of what we want in several respects (apart from anyway not being a
realistic model of particle physics). First, the flat space theory is
exactly conformally invariant: its $\beta$-functions vanishes to
all orders and there is no conformal anomaly (however, there are
non-trivial anomalous dimensions for composite operators). Secondly,
radiative breaking of symmetries cannot occur as a consequence of unbroken
supersymmetry. Finally, the non-conformal $N=4$ supergravity into
which this theory is embedded is not expected to be UV finite; hence,
the UV divergent gravitational corrections will destroy whatever
finiteness or conformal properties the flat space theory possesses.

Nevertheless there are some general conclusions that can be drawn from the
above construction and that may apply to other and hopefully more realistic
models.\footnote{See also \cite{OW} for an early attempt to construct
  a realistic model with broken supersymmetry by taking the
  $\kappa\rightarrow 0$ limit and imposing restrictions similar to
  the ones discussed here.}
To obtain a classically conformal theory as a flat space limit from
a non-conformal UV completion of the SM, we must ensure that negative
powers of $\kappa$ are absent before taking the limit $\kappa\rightarrow 0$,
thereby also excluding a `bare' cosmological term $\propto {\cal{O}}(\kappa^{-4})$.
As it happens, the $N=4$ theories discussed above do allow for a trivial
stationary point that meets all these requirements, but more interesting
extrema with non-vanishing expectation values of the scalar fields with
these properties appear not to exist for (\ref{GSO(n)}) or other
(non-compact) gauge groups \cite{BKS}. In addition, we would require the
stationary points to break supersymmetry completely in order to allow for
radiative breaking of symmetries. This is not an easy task to accomplish:
for instance, while the potential of $N=8$ supergravity (presumably the
only quantum field theoretic extension of Einstein's theory that may be
UV finite) does admit non-trivial stationary points \cite{Warner}, all
of these come with a non-vanishing cosmological constant
$\propto {\cal{O}}(\kappa^{-4})$, and the ones that do break supersymmetry
are all unstable. It is therefore clear that `something extra' beyond
quantum field theory is required to avoid this {\em impasse}, and that
we must invoke an as yet unknown mechanism operating at the Planck scale
to make this idea work.

Independently of what the UV completion of the SM is, let us therefore
restate our main hypothesis: apart from the explicit ${\cal{O}}(\kappa)$ terms (which
can be neglected in the $\kappa\rightarrow 0$ limit) the UV completion
of the SM gives rise to finite logarithmic quantum corrections (depending
on $\log(\kappa\phi)$) which induce conformal symmetry breaking. These
terms would constitute an `observable' signature of quantum gravity,
in the sense that electroweak symmetry breaking might be entirely due to
finite (and in principle computable) quantum gravitational effects.
This immediately raises the question how such anomalous terms might
appear in the low energy effective action of a theory which is expected
to be UV finite. Conventional wisdom would suggest that there is no
need to regulate UV divergences in such a theory, hence there cannot
exist anomalies in the usual sense. The CW breaking would thus have to
come from {\em finite} logarithmic corrections induced by quantum gravity,
in accordance with the anomalous Ward identity (for $\kappa\rightarrow 0$)
\begin{equation}\label{Ward}
T^\mu{}_\mu = \beta\big(\hat\lambda(\kappa\phi)\big)\phi^4 +
   Z\big(\hat\lambda(\kappa\phi)\big)\partial_\mu\phi\partial^\mu\phi
\end{equation}
where the gravitational coupling $\kappa$ replaces the dimensionful
scale that must be introduced in quantum field theory in order to
parametrize the CW potential, and where the function $Z$ (which starts
only at higher orders in the couplings) and the effective running coupling
$\hat\lambda$  depend only logarithmically on their argument. While the
effective potential must obey a renormalization group equation to account
for the fact that this scale can be chosen arbitrarily, the gravitational
coupling $\kappa$ is a {\em fixed} parameter. The effective potential at
low energies can then be determined in principle by `integrating' the
anomalous Ward identity. We note that the potential importance of
(\ref{Ward}) for the solution of the hierarchy problem was already
emphasized in \cite{Bardeen}.

The existence of anomalous logarithmic terms in a UV finite theory is
also suggested by fascinating recent advances in the computation of
$n$-point amplitudes in $N=4$ super Yang Mills theory \cite{BDS,DHKS1,DHKS2}.
These have exposed (amongst other things) a new `dual' conformal
symmetry subtly intertwining IR and UV domains~\cite{AM,DHKS3,DHP}
as well as subtle `anomalous' effects in $n$-point correlators via
so-called cusp anomalies in the dual Wilson loops. Despite the exact
conformal invariance one obtains a non-vanishing result (conjectured
to be exact to all orders)
\begin{equation}
\Gamma_4(p_1,p_2,p_3,p_4)\propto \Gamma_{cusp}(g)
  \log^2 \left(\frac{p_1\!\cdot \! p_2}{p_2\!\cdot\! p_3}\right)
   \delta^{(4)}(p_1 + p_2 + p_3 + p_4)
\end{equation}
for the 4-point amplitude with $p_1^2=\cdots = p_4^2=0$ (this expression
is cyclically invariant because $p_1\!\cdot\! p_2 = p_3\!\cdot\! p_4$
and $p_2\!\cdot\! p_3= p_4\!\cdot\! p_1$). This result
is obtained by integrating
the anomalous Ward identity for the generator of conformal boosts
\cite{DHKS1,DHKS2}. Because the coupling $g$ in $N=4$ super Yang Mills
theory does not run, there can be no dynamically generated scale as in QCD,
and therefore the anomaly cannot appear in the effective potential (which
vanishes) but only in momentum dependent terms, that is, the non-local part
of the effective action. By contrast, gravity does possess a dimensionful
scale, so we can form the dimensionless quantity $\kappa\phi$, and anomalous
contributions in principle can show up in the {\em local} part of the
effective action. Let us also remark that it is much easier to arrange
for hierarchical expectation values if there are only logarithmic
corrections to the potential. This expectation is also supported by the
numerical finding that the minima of the CW effective potential \cite{MN1,MN4}
tend to be very shallow.

The main conjecture put forward in this paper can therefore be summarized
as follows: the hierarchy problem can conceivably be solved via `anomalous'
logarithmic quantum corrections in a UV finite theory of quantum gravity,
if the latter admits a flat space limit which is classically conformally
invariant. The mass spectrum and pattern of couplings observed in elementary
particle physics could then have their origin in quantum gravity.

\vspace{4.0mm}
\noindent
{\bf Acknowledgments:} We are grateful to E.~Bergshoeff, J.~Drummond and
E.~Sezgin for discussions and correspondence. K.A.M was partially
supported by the EU grant MRTN-CT-2006-035863 and the Polish grant
N202 081 32/1844, and thanks the Albert-Einstein-Institut for
hospitality and financial support.

redpajama_set_name: RedPajamaArXiv


Hunkemöller opened its 100th store in Dilbeek.
The expansion of Hunkemöller, Northern Europe n°1 Lingerie brand, continues. The 100th store is located in the new shopping center "Dansaert Retail Park" in Dilbeek. Meanwhile Hunkemöller shops are represented all over the country. The Grand opening of the new shop in Belgium also emphasises the international growth of Hunkemöller.


The heart is a powerful muscular organ requiring adequate supply of oxygen to function efficiently. Oxygen-rich blood is carried to the heart through three arteries that branch into a network of smaller vessels.
Coronary Artery Disease affects the blood vessels (arteries) on the surface of the heart. These arteries bring blood (rich with oxygen and nutrients) to the heart.
Ageing and other complex factors cause these ordinarily soft and compliant blood vessels to harden. In addition, fat, cholesterol and minerals from the blood are deposited on the inner surface of the coronary arteries. When this material builds up, it forms a plaque that may restrict the blood flow through the coronary artery. Such plaque may also change the surface of the artery from smooth to rough, and these rough surfaces may stimulate the formation of a blood clot, which may slowly build up and narrow the artery even more. A blood clot can also build up quickly and abruptly close off the artery.
What are the affects of Coronary Artery Disease?
Narrowed coronary arteries mean the amount of blood that reaches the heart muscle is reduced. Fatigue, tightness in the chest, or a peculiar crushing type of chest pain called angina pectoris may accompany the decreased blood flow. Such symptoms are caused by exercise and emotional stress, which cause the heart to require more blood. However, these symptoms can be handled with adequate rest.
exercise or electrocardiogram (ECG). The Stress test measures changes in the electrical activity of your heart while you perform controlled exercise. This test can show if there has been damage to your heart. If the results of the stress test indicate a need for further testing, your doctor may arrange for you to have a Coronary Angiogram, also called Cardiac Catheterization. The coronary angiogram is the most useful test for diagnosing CAD because it allows the doctor to see exactly where the coronary arteries are narrowed or blocked.
Before conducting the angiogram, you will be administered a local anesthetic or pain medicine. The doctor then inserts an introducer sheath into an artery in your groin or through an incision in your arm. Then the doctor inserts a long tube called guiding catheter, into the artery and advances it into the blocked artery. By injecting a contrast dye that can be seen on an X-ray screen, the doctor can observe the arteries in your heart. You may be asked to take a deep breath and hold it while the doctor is conducting the angiogram. Any narrowing or blockage that exists can then be identified. In some cases, the doctor performs a primary angioplasty, or balloon procedure, immediately following the angiogram in order to open the coronary artery for blood flow.
What can be done to relieve blockages in the Coronary Arteries?
Plaques that block the coronary arteries usually occur in localised portions of the arteries. The part of the artery beyond the narrowing or closure is often not blocked. When the disease is localised in one or two arteries, the blockage can sometimes be opened by stretching or dilating. This is done by using a small balloon on a tube inside the artery. This procedure is called Angioplasty or PTCA (Percutaneous Transluminal Coronary Angioplasty). Angioplasty has become a relatively common procedure in recent years. Patients around the world will testify to its success in their lives. That said, it still has few risks attached.
Your doctor will discuss the risks that specifically relate to your condition.
Patients who have undergone an Angiogram will find Angioplasty procedure almost similar. Angioplasty is also performed in a Cardiac Cath lab. Patients usually receive medication before and during angioplasty procedure to help them relax. You are awake and alert throughout the procedure and are required to respond to the doctors requests during the procedure.
Angioplasty begins by inserting a sheath for the catheter into a blood vessel, most often in the upper leg or groin area, but sometimes in the arm.
A very small balloon catheter is passed through the sheath and into the blood vessel leading to the coronary arteries.
With the help of the X-ray, the Cardiologist follows the path of the catheter on the fluoroscope. Pictures may be taken just like in an angiogram.
Once the balloon is at the narrowing of the artery, the balloon is centered, it is then inflated to open the blockage.
While every situation is unique, inflation in most cases will last from 30 seconds to several minutes, depending on the nature of the blockage. The balloon is inflated at least two times. However, it may also be inflated to ten or more times.
While the balloon is inflated, some people experience chest pain that is similar to the angina they have experienced. This happens because the balloon temporarily blocks off the flow of blood and the oxygen that it carries to the heart. Patients should report any pain they feel during the procedure to the Doctor. After the block is opened, the balloon is deflated and retracted back through the blood vessel.
Can Angioplasty be performed in other Arteries?
Balloon Angioplasty has expanded the scope of treatment from patients of Coronary Artery Disease to those suffering from blockages in the other arteries of the body. The procedure is being increasingly used to open blockages in the Carotid artery, Renal artery and other Peripheral arteries.
A stent is an expandable mesh tube of a special metal which is designed into a cylindrical wave pattern. The shape and material of the stent offer flexibility for a balloon to adapt to the shape and curves of the artery.
A Stent is implanted to support the artery and keep the vessel open like a structural frame work. It is introduced into your artery just after balloon Angioplasty and is positioned at the site of the obstruction. Implantation of a stent benefits those patients who have a potential for future problems such as block recurrence or restenosis. The stent is implanted permanently in the artery.
What is Percutaneous Transluminal Rotational Ablation (PTCRA)?
One of the treatment options of Coronary Artery Stenosis is the PTCRA or Rotablator System that is used as a stand alone treatment or in conjunction with PTCA.
The Rotablator system is a catheter-based Angioplasty device utilizing a diamond-coated elliptical burr at the tip of a flexible drive shaft. Tracking coaxially over a guide wire and rotating at upto 190,000 revolutions per minute, the burr preferentially cuts away plaque while avoiding healthy tissue. The burr ablates plaque into fine particles that are disposed off by the body's reticuloendothelial system.
monitoring and ECGs are performed routinely after Angioplasty procedures and do not signify any special problems. If a patient experiences any chest discomfort or pressure, the nurse should be notified immediately.
Recovery in the hospital is most likely a matter of allowing the insertion site to heal before getting up and walking around. Most patients are required to hold their leg or arm straight and still for the first six to eight hours. You may be required to stay in the Hospital for 3-5 days before being discharged to the care of your family doctor. You can resume full activity within a few days of returning home.
Angioplasty is not a cure, but a treatment to reduce the affects of Coronary Artery Disease. It is extremely important to follow your medication regimen without any deviation. Another element for quick recovery involves accommodating lifestyle changes to improve their health and minimise the impact of their heart disease. Several factors are known to contribute to the build up of plaque in the coronary arteries. It is the combination of several of these risk factors, rather than a single factor, that impacts coronary artery disease.
Coronary artery disease (CAD) involves the arteries that supply blood to the heart and leads to development of blocks in these vessels which are very small in size (the largest ones being 3 mm in sizes). Despite their small size, these arteries are the primary source of blood supply to the heart, and if they get blocked completely, patients may develop fatal heart attacks.
If you or your family members have been diagnosed to have CAD, there are some lifestyle changes that need to be adopted immediately and need to be carried on for a life time. Even if you have not had CAD, but are at risk of these factors then certain changes in your life style will help you live long and remain fit with a healthy heart.
Smoking – The benefits of quitting smoking will start the moment you stop smoking. Smoking affects body in many ways – it damages your lungs, makes your blood vessels stiff and develops blocks in them (which results in paralytic stroke, limbs needing to be amputated, or heart attacks). Each cigarette takes away a certain length of your life and quitting the habit lessens earlier damage and prevents further damage.
Salt or sodium in the food increases body fluid and increases blood pressure and hence the consumption of salt should be reduced to the bare minimum necessary.
Alcohol and drugs – Consuming alcohol affects the liver primarily but can sometimes cause the heart function to deteriorate, and if that happens there are no medicines or operations that can reverse this condition. Certain drugs like cocaine affects the heart rhythm and can kill people even if consumed in small quantities. All kinds of abusive drugs and alcohol should be avoided.
Fatty foods – The mechanism of development of blocks is by deposition of fat in the walls of the coronary arteries, it is like grit getting accumulated in the pipelines causing the pipe to be partially blocked, over a period of time the block gets worse and becomes complete. The grit in human body is excess fat in the form of cholesterol, this excess fat is formed when we consume far more calories than that are needed on a daily basis. The body converts these excess calories into cholesterol which gets deposited on the walls of arteries. The best way to prevent this phenomenon from occurring is to reduce the calories intake and exercise regularly so that the excess calories are burnt.
Eat healthy food: Healthy food constitutes low calorie, high fiber, with vitamins, minerals and other essential elements.
Food rich in fiber content should be consumed like tomatoes, carrots, cabbage, peas, mushrooms, oranges etc.
Raw oil on salads like olive oil or sunflower oil is better than boiled oil.
Regular exercise in the form of brisk walking or jogging or gym exercises will ensure losing excess calories and helps reduce obesity and blood cholesterol. Exercise is adequate when at the end of it, you are sweating and feel warm. Do not exercise beyond what you are accustomed to, increase the duration slowly over a period of time such as a month or so.
In modern day life, stress has become a part of life and is an important contributor to the increased incidence of heart disease. Find time to relax with family and plan to go on vacations at regular intervals. Practice of yoga helps you relax.
Continue your medication as directed by your Cardiologist. Some medications are better taken at the following times.
Never stop any medication prescribed post-stenting, heart operations or after having been diagnosed for a heart problem. Consult your Cardiologist before you discontinue, as such medication is normally for a life time. Also, these medicines are part of secondary prevention strategy, aimed at preventing the disease from getting worse and in some instances to improve some of the blocks.
blocks can develop in these areas again.
Aspirin has been found to have many protective effects such as prevention of clot formation, reduces block size, and increases longevity of the stent or graft. Clopidogrel is another important medicine that acts similar to Aspirin and is very helpful in keeping stents working and is essential for at least the first 6 months to 1 year after special stent insertion (Drug Eluting Stents).
Therefore do not stop these medications until your Cardiologist asks you to do so.
Try and rotate the use of oils between rice bran oil, sunflower oil or olive oil.
Try and use 3 – 4 teaspoons of oil a day (roughly ½ a litre of oil/ person/ month).
Restrict use of salt / do not add table salt to food.
CLICK HERE to Get Expert Opinion with Our Best Cardiology Specialists.


My name is Jason Sheasby, and I am a lawyer at Irell & Manella. I am not qualified at all to write a cooking blog. But I find experimenting with simple recipes a great way to spend time with my daughters. It's also a way to ruminate about my work. When I experiment with a new recipe, I plan to share it here along with my thoughts.
At an early age, Jason Sheasby learned how to cook from his mother. Some of his best memories from childhood involve being in the kitchen with his mother soaking up as much cooking knowledge as possible. Today, as a litigator at Irell & Manella, most of Jason's time is devoted to winning cases for his clients. While Jason enjoys every minute of his work, he believes it's important to unwind when possible. Cooking is a fantastic way to relax, learn about dishes from different cultures, and pick up new skills along the way.
One of the activities that Jason enjoys most is teaching his two daughters how to cook different recipes. He cherishes the opportunity to spend time in the kitchen with his daughters. It's just like the moments that he and his mother used to share when he was a child. Recipes are never static, and never taken from a book directly. Instead, there is always experimentation – trying new ingredients, hand grinding spices, trying new techniques.
One of Jason Sheasby's favorite cooking websites is Cook's Illustrated. The site features numerous recipes, equipment reviews, and buying guides on various subjects. Whenever Jason needs inspiration for his next meal, he visits Cook's Illustrated. Another source of inspiration is local restaurants in the Los Angeles area.
Combine 3/4 cups of warm (not hot) water with two heaping tablespoons of live yeast and three heaping spoons of sugar. (Adding more sugar than normal creates a large and robust yeast colony.) Wait 7 minutes for the yeast to grow.
Add in 2 cups of flour, 2 tablespoons of olive oil, and 1 tablespoon of salt. Salt kills yeast, so add it only after the flour.
Knead together. The dough will be sticky.
Place in an oiled bowl and wrap tightly in double Saran Wrap so it is airtight. Immediately place in a 40 degree Fahrenheit refrigerator. Let it slowly rise for 72 hours. When you remove it there will be a strong smell of beer. Yep. Beer.
Let the dough return to room temperature. Perhaps 15 minutes. Then knead again and roll out. Then let the pizza dough rise again for 1 hour.
Dress with toppings and sauce and cook in a pizza stone in an oven at 500 degrees Fahrenheit.
Jason Sheasby has worked as an intellectual property litigator at Irell & Manella for close to two decades. Over the years he has won numerous cases for both large corporations and individuals. He attributes his success to the talented people he works with as well as his own passion for learning. Since the majority of Jason's cases relate to the technology industry, he gets the unique opportunity to learn about some of the world's most cutting edge technology on a daily basis.
While Jason doesn't have a particular philosophy for winning cases, he believes it's important to approach each case with an open mind and a willingness to set aside any presumptions. Not only does this approach ensure that the work is always enjoyable, it helps Jason see the subject from the widest angle as possible.


text:
Florida A&M
Valdosta State
Tallahassee Community College
Quick links... Florida State Florida A&M Valdosta State Tallahassee Community College
SportsCollege Sports
CFP to remain 4 teams through '25 after expansion talks fail
Roger Steinman/AP
FILE - The College Football Playoff logo is shown on the field at AT&T Stadium before an NCAA college football game in Arlington, Texas, Jan. 1, 2021. The College Football Playoff is set to remain a four-team format through the 2025 season after the administrators who manage the postseason failed to agree on an expansion plan before the current contracts run out. A person involved with the decision told The Associated Press on Friday, Feb. 18, 2022, that the CFP management committee, comprised of 10 conference commissioners and Notre Dame's athletic director, met by video conference earlier this week. (AP Photo/Roger Steinman, File)
(AP) — The College Football Playoff is set to remain a four-team format through the 2025 season.
The administrators who manage the postseason failed to agree on a plan to expand before the current contracts run out.
The CFP management committee met by video conference earlier this week. Executive Director Bill Hancock says the committee decided to abandon efforts implement a new 12-team format for the 2024 season. They instead recommended staying with the current model to the presidents who oversee the playoff.
The Board of Managers accepted the recommendation and directed the commissioners to continue discussions on a new format to go into effect for the 2026 season.

redpajama_set_name: RedPajamaCommonCrawl


text:
Links

GitHub

GitHub (iOS wrapper)

Roles

Developer

iOS Developer

When

May 2015 (main script)

Sep 2015 (iOS app)

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        Image2ASCII is a Python library I wrote which is capable of approximating images with text,
        creating ASCII art from any source. To make the tool more accessible, I also wrapped the
        library in a simple app using Pythonista.

        Image2ASCII generates artwork by looking at the source image and matching brightness levels
        in different parts of the image with characters that have an approximately appropriate
        "visual weight" on the page. Characters that fill more of their area with black, like W
        or $ are considered to have a high visual weight, while characters like .
        and ', which leave most of the space they occupy blank, are considered to have
        low visual weight.

        In order to apply this principle, the first step that the program takes is to generate a map
        between characters and their visual weights. The program renders each ASCII glyph onto a
        canvas the size of one character, and computes the average brightness of the resulting
        image. Lower brightnesses indicate characters with more visual weight, because more of the
        image is black.

Grant Wood's American Gothic as ASCII art. Roll over for a more detailed view.

        After building the map between each character and its visual weight, image2ASCII assigns
        characters to different portions of the image. The image is converted to black and white,
        its contrast increased to improve clarity of the ASCII art, and then the image is downscaled
        to a size where each pixel could be reasonably represented by a single character. Then,
        pixel-by-pixel the character with the visual weight most similar to the brightness of the
        pixel in question is selected and added to the output string. The result is the entire
        artwork represented as text.

        Image2ASCII provides functions for rendering artwork onto an image for display, but the
        example to the left uses the raw text output and dynamically renders it onto a canvas.

redpajama_set_name: RedPajamaGithub


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text: Q: Riemann zeta function (Edwards) Section 2.4 In section 2.4 of the book "Riemann's zeta function" by Edwards, the estimate $n(R)\leq 2R\log(R)$ is derived, where $n(R)$ is the number of roots of the equation $\xi(\rho)=0$ inside the circle $|s-1/2|=R$. But the last line of the proof is $$n(R)\leq \frac{2}{\log 2}R \log R +2R -\frac{\xi(1/2)}{\log 2}\leq 2R \log R$$ and the second inequality is not true for large $R$. It would become true by replacing $2R\log R$ with $3R\log R$. Is this a typo in the book, or am I missing something?

redpajama_set_name: RedPajamaStackExchange


Can Breastfeeding Prevent This disease?
We all know there are many benefits to breastfeeding and this is just not for the baby's benefits but also the mothers.
According to a report published by Cambridge University scientists suggests that mothers who have breastfeed their children may decrease the risk of Alzheimer's in their later life.
It is thought that certain biological effects of breastfeeding may play an important part in protecting the brain against the onset of the Alzheimer's.
There is no specified length of time to breastfeed to help decrease the risk of this, but a mother who does breastfeed is just not helping herself from this and other diseases but also her baby from common stomach problems to other more severe illness.
This article is brought to you by Xpanda Bra the ultimate comfort nursing bra helping make pregnancy and nursing mother's lives easier.


Providing The Best Ski & Snowboard Equipment From Top Brands In Aspen Since 2009!
Black Tie Ski Rentals of Aspen is proud to offer the very best in rental ski and snowboarding equipment.
Our goal at Black Tie Skis Rentals of Aspen is to provide you with the best fitting gear based upon your ability level, terrain preference, and current slope conditions. Should you wish to switch your rental equipment at any time during your stay, just remember that we are only a phone call away: 800-925-8544.
Call us at 800-925-8544 or email us here!


text:
Rajen S. Sidhu and Nikhilesh Chawla
Rajen S. Sidhu and Nikhilesh Chawla (TMS)
For the paper "Thermal Fatigue Behavior of Sn-Rich (Pb-Free) Solders"
Rajen S. Sidhu said: "It is a distinct honor to be selected as this year's Rossiter W. Raymond Memorial Award receipt and to join the list of distinguished persons who have received this award in prior years. As a young professional, having the opportunity to attend TMS meetings and interface with the breadth of technical experts who attend has played a critical role in my career development. I hope to continue my involvement in TMS not only to broaden my own experience but also to contribute to the growth of other engineers."
Nik Chawla said: "It is an honor to receive the Raymond Award from AIME. TMS has been and will always be an integral part of my professional life. I am grateful the society for all that it has contributed throughout my professional career!"


For more than 25 years, we have produced this annual report to help airport management teams, investors, finance sector analysts, and airlines gain a better understanding of how airports worldwide stack up in terms of relative operational and financial efficiency.
This publication presents an analysis of audited data from 50 major airports worldwide, ranking the airports in terms of 36 financial and operational performance metrics, including segmented analyses of revenues and operating costs and standard accounting performance measures.
This annual report consolidates 40 performance metrics relating to operations, revenues, operating costs, and profitability for 50 of the world's major airlines.
This publication presents an analysis of audited data from 50 major airports worldwide, ranking the airports in terms of 35 financial and operational performance metrics, including segmented analyses of revenues and operating costs and standard accounting performance measures.


La Vetta MNT GTX est la chaussure conjuguant précision et légèreté alliées à une tenue du pied et une résistance surprenante pour la pratique de la marche.
A light, versatile boot for hikers and climbers in a completely new set up.
Suitable for light mountaineering, low-grade climbing and via ferrata.
The Vetta MNT GTX shoe combines precision and lightness combined with a foot holding and surprising strength for the practice of walking.
Its 3-density infill is intensive use when hiking long.
It is a guarantee of comfort provided.
The hiking boot Vetta MNT GTX a facelift this season by offering four new colors.
Asymmetrical lacing at the toe MNT Vetta wraps the foot comfortably and safely.
Gore-Tex ® Sierra lining offers all weather comfort.
For this 2013 season, Garmont sole change with the advent of the new Vibram ® Maton.
An extremely light and versatile boot that is at home in multiple conditions. Features additional toe and mid-foot protection. Extremely comfortable for long hikes thanks to its 3 density midsole construction and the Vibram® Maton outsole. Gore Tex® Sierra lining for all-weather condition comfort.


What:	luna - rhyme and reason Vancouver hip hop artist Ndidi Cascade will give a workshop which includes an intro to hip hop, rhyme writing, freestyling and performance skills, and then ends with a jam where everyone can try out their written raps and freestyle on the mic. The focus is on socially conscious lyrics. Entry is $5/$7.
When:	Thursday January 5, 8:30 p.m.
What:	SWIM FOR MEMORIES Friends and family of people who have been touched by Alzheimer's are invited to come out for a swim. Christine Suter will be swimming 10 km and collecting donations to raise money and awareness. Make a donation at www.walkformemories.com.
When:	Sunday January 8, 7-9 a.m.
What:	a deep winter storytime Deep winter conjures up thoughts of abundant snow, chilly noses and cheeks, long still nights and cozy times by the fire. Children are invited to cozy around for some stories, rhymes and a craft at the library's 'A Deep Winter Storytime.' Pre-registration is required for the craft activity. Call 604-932-5564.
When:	Sunday January 8, 10:30-11:30 a.m.
What:	LUNA - JAPANESE MOVIE LUNA presents 'All About Lily Chou-Chou/Lily Cou-Chou no Subete', the first in a monthly Japanese movie series. Tickets are $4/$2.
When:	Thursday January 12, 9 p.m.
What:	UZUME TAIKO A unique performance, combining heart-stopping choreography with Japanese festival drumming. Tickets are $20/$17. Call 604-935-8410.
When:	Wednesday January 18, 8 p.m.
What:	WHISTLER NATURALISTS: PINEAPPLES, POWDER & PRECIPITATION Learn a little more about Whistler's weather from the experts. Environment Canada's David Jones will explain regional weather patterns that bring dry snow and wet snow and local avalanche forecasters will put that in perspective for what that weather means for skiers and riders. Admission is by donation.
When:	Thursday January 19, 7 p.m.
What:	THE VINYL CAFE Stuart McLean, one of Canada's most beloved storytellers, will record more adventures from The Vinyl Cafe in Whistler. McLean will be on hand for two performances. This could be the perfect Christmas gift! Tickets are on sale at MY Millennium Place or call 604-935-8410. Tickets are $30.
When:	Tuesday Jan. 24 or Wednesday Jan. 25, 7:30 p.m.


No foolin'! Detcon1, the 2014 North American Science Fiction Convention, will hike some of its pre-registration rates on April 1.
On April 1 full adult attending memberships rise to $70. To encourage attendance by families and younger fans, young adult and child membership prices will remain at $50 and $25 respectively. Supporting memberships remain unchanged at $35. Online registration and a printable form is available here.
Pre-supporter discounts remain in effect for pre-registrations but will not be given for memberships purchased at-the-door. People who pre-supported at the Passenger level qualify for a $20 discount, while those who pre-supported at the Driver level qualify for a $40 discount. A list of pre-supporting members can be found here.
This entry was posted in Conventions and tagged Detcon1, NASFiC by Mike Glyer. Bookmark the permalink.


Do you find how to make a wooden bath panel. Use this opportunity to see some photos to give you smart ideas, imagine some of these beautiful images. Well, you can use them for inspiration. Perhaps the following data that we have add as well you need.
Please click the picture to see the large or full size image. If you like and want to share let's hit like/share button, so more people can saw this too. Right here, you can see one of our how to make a wooden bath panel gallery, there are many picture that you can found, do not miss them.
Hang a mobile of your favorite model airplanes from the ceiling, close to the map, and with sufficient clearance that the planes can circulate. Put a wall sized print of an antique map, carried out in shades of amber, on the wall. If you continue to select a darker color for room that is small, then is likely to be paint just one wall this colour, making it a feature wall. Darker colors are great for people who choose a warm, cozy really feel to the room, although smaller rooms do not likely advantage from being dark. What are your goal and life-style needs? Are your shelves lined with books by Beryl Markham and Antoine de Saint Exupery? Listed here are 10 decor ideas that can show you how to turn back the clock and step into an journey. Why not turn a room in your house right into a tribute to your passion? You might not believe that you have sufficient room to decorate however you'll be able to reuse a couple of the issues you've got in refreshing methods. You may also strive listing the adjectives that you want to experience together with your room reminiscent of elegant, calm or romantic.
On your bedroom interior design, look for small items and petite furniture that provides a large look to your room. Bedroom Furniture: The room populated with big and a lot of furniture crowds the room. Paint Trends and Theme: The theme room could appear too cheesy or apparent to you. This room will be a refuge from the cynical homogeny of modern instances, and rekindle your spark of innovation and daring. This will decide your fabric, color palette and artwork layout. Relating to selecting the contemporary colour of your bedroom, pay no attention to "what is in" in the mean time. Though, if you select a defined development like contemporary or classic it offers a design path. This is perfect for inexperienced persons when you will have a finest design path. Make an ideal use of modular furniture to make the nice use of the little area obtainable. You need to define exactly what you need your area to be so that you get it.
Upholster the room's furniture in brown confused leather (barely reddish hue undertones) -- harking back to the bomber jackets and wrist watches worn by early 20th century pilots. Embed the clocks in a backing and spherical frame of the identical brown burdened leather-based used for the upholstery. Choose analog face clocks that are framed in copper coloured metallic that looks aged and in need of sharpening. Listed under are just a few suggestions for bedroom interior design ideas. Bedroom interior design ideas change a important white field in to a retreat. Mixed Method: The client pays each a set percentage on purchases and a base design charge for hourly price. Cost Plus Method: Professional inside designers charge a set share on all merchandise purchased and tradesmen's services rendered. How do Interior Decorators cost for their companies? Flat Design Fee: The shopper pays a flat price for the professional interior designer's services primarily based on the design plan, time required, and scope of providers.
What's your time frame for finishing the project? Look for bed objects in queen sizes that have no headboard. These skilled interior decorators rework your home using things you've accumulated through the years. A Certified inside designer is a competent design professional who's certified to design, prepare, and submit any type of nonstructural, non-seismic inside construction plans and specs to local building departments. Certified interior designers have demonstrated through education, expertise, and examination their information of the Uniform Building Code as it pertains to house planning, life security, flammability, and disabled access code issues. How long do you plan to occupy the house? This can allow you to see the charts on the table surface, whereas keeping them clear and secure from spills or shredding. When a breeze puts the cell in motion, the planes will appear to be flying over the world. Select colours in keeping with your explicit preferences. You may re-print it on your ezine or webpage provided that the useful resource box under stays intact, including the active links in it.
Here's more info on dulux paint pod homebase look into the page.
Below are 22 best pictures collection of how to make a wooden bath panel photo in high resolution. Click the image for larger image size and more details.


Dallton Consulting Engineers (DCE) has combined its engineering and 12d skills to grow into one of Victoria's premier land development design consultancies. DCE offers specialist services to the racing industry, designing racetracks and associated facilities. Recently, DCE was involved in the reconstruction of the dog racing track in Dapto, NSW.
The track is defined by two circular arcs, and front and back straights. It also includes transition spirals. As the track is a closed loop, the new Super Alignment string editor was used. Using a Super Alignment string, there are eight parts to this track.


text:
using System.ComponentModel.Composition;

namespace VSConsole.PowerPack.Core.CommandImplementations
{
    [Export(typeof(ICommandTokenizerProvider))]
    [HostName("Microsoft.VisualStudio.VsConsole.Host.PowerShell")]
    internal class CommandTokenizerProvider : ICommandTokenizerProvider
    {
        private static CommandTokenizer _instance = new CommandTokenizer();

        static CommandTokenizerProvider()
        {
        }

        public ICommandTokenizer Create(IHost host)
        {
            return (ICommandTokenizer)CommandTokenizerProvider._instance;
        }
    }
}


When you think of potato salad it's usually cold and mixed with a lot of mayo, right? That is not what I grew up having as a child and when I ever tasted a mayonnaise-y potato salad I enjoyed it, but it wasn't a taste I was used to. My mom would serve this potato salad warm. This is more my preference and it also has a lot less calories than using mayonnaise anyway.
You could certainly have it cold if that's what you're used to. But I guarantee you will enjoy the flavors in this just as much as the typical potato salad, dare I say, maybe even more!
If you do refrigerate, I would suggest just warming the dish up slightly to get the olive oil to be a liquid again.
Some wonderful add-ins for this would be edamame, chickpeas or cannelini beans, cherry tomatoes or even some yummy black olives!
Place the potatoes in a sauce pan covered with cold water. Bring the water to a boil and cook for about 15-20 minutes until the potatoes are tender. Drain the water and let the potatoes dry for about 5 minutes. Add all ingredients to a serving bowl and gently toss. Season with salt and pepper. Serve warm or refrigerate for an hour and serve cold. Delish either way!
Looks very delicious and without the mayo, that,s a taker for my family!
We made this tonight! It is unbelievably delicious! My husband loved it! I am making more potatoes now to soak up the extra dressing that was in the bottom of our bowl.


Not all jerky is created equal.
What's Whole 30 approved, certified gluten-free, non-GMO, all- natural, filled with 9 grams of protein and tasty? Well, CHOMPS of course! CHOMPS followed me on Instagram a few weeks ago and when I saw the notification I knew the name sounded familiar. As soon as I clicked on their profile, it all came together- these are the tasty snacks I've heard wonderful things about and have seen at the grocery store. I immediately followed back and messaged them to set up a collaboration. Diving into their website and researching their products was making me crave their snacks! The CHOMPS team kindly accepted my partnership request and went a step farther to sponsor Midwest Strength + Performance's goodie bags for the one year anniversary party. To say the guys and I were excited to try CHOMPS and have the members chomp on this snack post- workout, would be an understatement.
CHOMPS was founded on the love Pete Maldonado has for jerky, which started as a child. Growing up Pete would munch on the "gas station" snack and soon realized the ingredients and nutrition facts are far from satisfactory. Appalled by artificial flavoring, nitrates, and preservatives, Pete set out on a journey to create the ideal beef snack stick. I am proud to say Pete has achieved his goal- CHOMPS is the snack I am craving and reaching for these days. I support CHOMPS because of the nutrition but enjoy CHOMPS because of the taste and incomparable flavor.
Who Is CHOMPS For? Everyone!
The guys at the gym love CHOMPS, too. Not only are these tasty snacks good for you, but they're trainer approved, too!
If you have not tried CHOMPS, let me tell you- you're missing out! The next time you're at the grocery store, pick up CHOMPS and let me know which of the six flavors is your favorite. Find chomps in the isles of your local Target, Trader Joe's, 7 Eleven, Fresh Thyme, Meijer, and more!
Shoutout to Phil for being my model. Thank you for lending a hand with this post… literally!
Stay in the know by entering your email, to receive bi-weekly updates on new articles and adventures.
Seriously, I won't flood your inbox- sign up.


Have you ever seen an autumn leaf immortalized? Here's one, spotted on my morning commute.
Very cool. Gives me all sorts of ideas about how to apply the same technique to my photographs.
That's so neat, Anita! I hope you get some amazing photos as a result.


The game Slither.io has already inspired several game developers to create even better game than this living legend is. Most of these attempts did not worked out, but this is not the case of Worm.is. This game has many interesting mechanics which make the game interesting to play and turn this game into a real action multiplayer game which will entertain you for long hours. Fight with other snakes for the title of the biggest snake. Shoot deadly balls onto them and try to take them out. This is the guaranteed way to remove them from the game, so the gates of glory will be open. Have fun.


text:
Agueda Elizabeth Arias
Agueda, circa 2001
Missing From Longview, Washington
Race Hispanic
Distinguishing Characteristics Hispanic female.
Agueda disappeared with her mother, Guadalupe Barajas Castro, from Longview, Washington on November 26, 2001. They were planning to go shopping with Guadalupe's husband and Agueda's father, Gregario Arias Ibal, in Portland, Oregon during the day. Guadalupe had been estranged from him at the time of her and Agueda's disappearances, but was considering reconciliation. She and her daughter had lived together with Guadalupe's parents for about a year prior to November 2001.
Gregario's family claims he and his sister, Regina Arias-Ibal, disappeared on the same day Agueda and Guadalupe did. Photos of the siblings are unavailable. Regina's date of birth is April 2, 1982, making her 19 years old at the time. She's described as Hispanic, 5'2 and 110 pounds, with black hair and brown eyes.
In 2020, Agueda and Gregario were found together outside of Guadalajara, a city in west central state of Jalisco in Mexico. Agueda is now 22 years old. Her identity was confirmed by DNA and she was able to obtain a US passport. There was no sign of Guadalupe, however, and it's unclear if Gregario's sister has also been located.
Longview Police Department 360-577-3157
The National Center for Missing and Exploited Children
Child Protection Education of America
KGW News
Washington Missing Persons Information
The Polly Klaas Foundation
Updated 7 times since October 12, 2004. Last updated November 29, 2020; case resolved.


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text:
Italy plans stronger moves to stop migrants, but cracks appearing in coalition
By admin On July 11, 2019 July 10, 2019 In Insurance Marine News, Keep, Political Risk, Credit & Finance
Italy's government plans to throw more resources into its fight against boat migrants, an official said on Tuesday, as the number of new arrivals gathers speed, putting pressure on Interior Minister Matteo Salvini.
After a sharp fall in migrant arrivals in recent months, numbers have picked up since June, with people-smugglers increasingly towing packed boats deep into international waters to escape especially the Italian-funded Libyan coastguard.
Previously the underpowered rubber dinghies had been pushed to sea from local beaches, which made it relatively easy for the Libyans to stop them before they left their territorial waters.
Italy is planning to boost its own sea and air patrols to try to spot traffickers before they leave local waters, and will give 10 motorboats to the Libyan coastguard.
Salvini also wrote to his Tunisian counterpart urging him to do more to stop departures from Tunisia and to accept back swiftly those caught fleeing.
Over the past 18 months, the largest number of migrants entering Italy have come from Tunisia, a change from previous years when the new arrivals came mainly from sub-Saharan Africa.
Since the start of 2019 more than 3,100 migrants have reached Italy, with nationals from Tunisia topping the list, followed by Pakistan, Ivory Coast, Algeria, Iraq and Bangladesh.
More than two-thirds of these have been picked up at sea relatively close to land by the Italian navy and coastguard, or else have come to shore directly.
Only about 10% have been transferred to Italy so far this year by charity rescue ships. This followed moves by Salvini to shut the nation's ports to NGOs.
However two boats recently defied the ban, bringing migrants into Lampedusa. Germany-flagged Sea-Watch 3 and Italian sailboat Alex have both been impounded and their owners face fines of around €50,000. But the move seems to have worked well for Sea Watch, as the charity saw donations surge in the wake of the arrest of Sea Watch 3's captain.
As a result Salvini was reported to want to raise the threshold for potential fines €1m. However, Salvini does not control the courts, which have leaned towards a less hardline approach. Also, it was unclear whether the League's coalition senior partner, 5-Star, would accept such a rise. Salvini complained at the weekend that 5-Star ministers were not helping enough to tackle the sea-borne migrants. He said that he felt "left alone" in his fight. The response from 5-Star leader Luigi Di Maio was: "Salvini feels alone? Then let's send him a teddy bear".
Prime Minister Giuseppe Conte called a meeting of ministers on Wednesday "to coordinate action by the various ministers and to avoid any overlaps or misunderstandings arising, according to the PM's office.
2018 Paris MoU Annual report "Consistent Compliance"
ITF asks for immediate release of detained seafarer


text:
Your Story Hour
Aunt Nikki, Aunt Carole and Uncle Jon
Listen Archives More...
Adventures through the Holy Bible - Week of January 27
God Knows…When Somebody Doesn't Trust Me – Part 3
With great effort, Paul was able to keep the people of Lystra from sacrificing to him and Barnabas in the belief that they Barnabas were gods. Meanwhile, some of those who had opposed Paul and Barnabas in Antioch and Iconium tracked them down. Arriving in Lystra, they convinced many people of false accusations against Paul and Barnabas. And the same crowd who had been ready to worship them now decided to murder them.
They got a hold of Paul and threw stones at him without mercy. "It's the end," thought Paul. Memories of the stoning of Stephen came to mind. Fainting from the pain and covered with bruises, Paul collapsed. The mob thought he was dead and so they dragged him out of the city.
Some brave and loyal friends Paul had made in Lystra gathered around. Quite a number believed Paul's message and had accepted Christ as Friend and Savior. Imagine their sorrow as they stood by Paul's bleeding body! But their mourning was interrupted as Paul lifted up his head, and then rose to his feet.
Paul's first words were praise to God because he had been allowed to suffer for Christ. Then he went right back into the city. Where could a man get that kind of courage? God is the source of such courage. A young man named Timothy witnessed Paul that day and later he became a strong worker for God.
The next day Paul and Barnabas went to Derbe. After preaching and teaching there, they retraced their steps to encourage the new followers of Jesus. Risking danger, they returned to Lystra, Iconium, and Antioch, and then back to Perga and to Attalia on the seacoast. There they boarded a ship headed home. "Now when they had come and gathered the church together, they reported all that God had done with them, and that He had opened the door of faith to the Gentiles" (Acts 14:27).
During the time that Paul and Barnabas were home in Antioch, the young Christian church held an important council in Jerusalem, with James presiding. Paul and Barnabas attended, and so did many others. When it was over, they returned to Antioch to give the report of the council. There they taught and preached, but soon Paul's feet were itching to be on the move again. Like a gardener who loves to check on the progress of his growing plants, Paul wanted to visit the young churches to give them tender care, and to plant new seeds of truth.
Trust Restored
It is now that we hear of John Mark again. Paul refused to take him along on this second trip. He didn't trust him. He felt Mark was not dependable. Barnabas, though, was ready to give him a second chance. He thought that Mark had learned a lot from his first experience, and that he could still become a useful worker for Christ. So on the second trip Paul went one way and Barnabas and Mark went a different way, to Cyprus.
Mark HAD learned a lot. Instead of feeling bitter and negative, he gave himself totally to the work of God. He was determined to make up for his earlier mistakes. Mark had the power of the Holy Spirit to help him. He also had the wise guidance of Barnabas.
John Mark, became the writer of the Gospel of Mark, the second book of the New Testament. He no doubt based his record of the life of Jesus on the eyewitness account Peter gave him.
Later on, Paul realized that John Mark had come around. He had proved himself. He had become a dependable Christian—full of faith and willing sacrifice everything, even his life if necessary. Nearly 20 years later, Paul wrote to the Colossian people, telling them to accept Mark as a fellow worker if he came to them. Near the end of this life, writing to Timothy, Paul said, "Get Mark and bring him with you, for he is very useful to me for ministry" (2 Timothy 4:11).
Nobody has to stay the way he or she is. Trust can be regained. It takes time. It takes patience. It takes determination. But "with God, all things are possible." God has something important for each one of us to do, and we must not let anyone else discourage us. Failing is not the end of everything. We can get up and try again when we ask God to help us.
Where to find the story: Acts 13-14
Berrien Springs, MI 49103
info@yourstoryhour.org
For more information about this ministry please visit their website YourStoryHour.org or listen to their radio program on OnePlace.com.
Devotionals Cancel
About Your Story Hour
Your Story Hour encourages young people to develop a strong Christian character through its dramatized radio program (English, Spanish & Russian), free Bible lessons and online magazine for kids. Exciting, inspirational and educational stories bring the Scriptures, history and everyday experiences to life.
About Aunt Nikki, Aunt Carole and Uncle Jon
Hosts Aunt Carole, Aunt Nikki and Uncle Jon bring their warmth and love to children around the world as they narrate exciting, dramatized stories straight from the pages of the Bible, the annals of history and the experiences of life. Your Story Hour has encouraged young people (kids, teens and the young at heart) for nearly six decades, helping them to embrace high moral principles, while at the same time enjoying storytelling at its best. Kids love to "be there" when David slays the giant, "feel the heat" as Daniel's three friends are cast into the fiery furnace, "experience the excitement" as Clara Barton risks her life to save the wounded of the Civil War, "understand the risks" as Paul Revere makes his famous ride, "feel the wonder" as an angel protects two children from a robber or God miraculously spares an honest man's family from starvation. Hundreds of wonderful stories, taken from the international radio broadcast, are available on CD (or cassette). In addition, a special, interfaith Bible course, during which children earn CDs from Your Story Hour's Life of Jesus album (26 stories), is available for kids 9 years old and older. And, starting in 2008, Clubhouse magazine will be available online free of charge!
Contact Your Story Hour with Aunt Nikki, Aunt Carole and Uncle Jon
Website: https://www.yourstoryhour.org/


text:
Love Ministry? Join our newsletter!
"I Shaved My Chest To Fit Into This Girdle": Inside Ministry's New Photo Book With Al Jourgensen
Ministry frontman Al Jourgensen gives us an exclusive look into the band's upcoming photo history book.
Words: Chris Krovatin
Few bands have had such a storied visual career as industrial pioneers Ministry. Starting as a synth pop group in the late '80s, the band took a hard left turn onto the mechanized freeway of industrial, merging mechanized beats and surging distortion with thrash metal riffs until they became the meanest beast on the road. With the band's sound grew their imagery, over time transitioning from the shadowy lo-fi aesthetic of goth to the raucous, psychologically-loaded symbolism of the '90s and finally championing the in-your-face darkness of the matured industrial scene.
Last month, the band released a massive new photo book titled Prescripture: A Visual History, which collects images from across the band's elaborate, insane, and sometimes mind-bending career. To better understand the photos in the book, we asked frontman Al Jourgensen to tell us the stories behind a handful of his favorite pictures therein. Here's what he told us…
"There's always room for Jello. This was during the Bush eras you can tell with my shirt and Jello [Biafra] is wearing some kind of anti-war sentiment too. And I believe this was the night he burned an American flag on stage and ran out the back door and I was arrested. He's always been my political comrade in arms."
"This one looks to be during the Lollapalooza era and the photo is always nostalgic for me. I love seeing Mikey [Scaccia] and me in our heydey, he was my best friend and right-hand man."
READ THIS: "I'd shoot heroin, smoke crack, take methadone…and I still managed to put out some decent records"
"Around this time I had time off and traveled with Anthrax on their tour. This picture was taken at the Universal Amphitheater in Los Angeles in '92. They added Thieves to their encore and I'd join them on stage, which was a hell of a lot of fun."
"We spent three days in a studio in Lawrence, Kansas with William Burroughs and got to hang out with him and really got to know him. It was amazing watching him read parts of his book, Nova Express, which we used for the remix on the B-Side of Just One Fix."
"That whole European tour was pretty cool. In Norway, I remember the amphitheater we played at was beautiful, it was an outdoor venue built into the mountain like Red Rocks in Colorado surrounded by fjords and gondola trailer."
"The Reload video — I had to shave my chest and legs and try to fit into this girdle to look like Jackie O. We filmed in downtown LA and the streets were closed off and for all these crowd shots they got kids who lived in the area and gave them like $10 a piece to go crazy when the cars drove by. It was the same team — Jeff Kinart and Doug Freel — who did the Fix movie. I just remember having a problem with the girdle and saying NO to shaving my mustache — that's where I drew the line."
READ THIS: 8 albums in which bands totally changed their perspectives
"It was [recording engineer] Justin Leeah's first time working with me at Sonic Ranch in El Paso, Texas and we had been up close to 72 hours at this point. If you look at his face, he looks like a hostage. Like the Peloton commercial. I wouldn't let him leave, we spent hours zeroing in on kick drum frequency over and over again."
"RIot Fest Chicago in 2017 was a memorable performance, my homebase and Nine Inch Nails played right after our set. But it's also a photo that shows how much I love playing with Sin Quirin in this band."
"I think people can sometimes forget I have done 70% of the guitar work on all Ministry albums. I love playing with these guys — Sin Quirin and Cesar Soto — and they get all the credit, which they should since they should they are better players than me. But it's strange everyone views me as a leader singer; I hate lead singers!"
"After about a 10-year feud about a lot of different shit, this was the night [] [Revolting Cocks frontman] Chris Connelly and I buried the hatchet on stage at the Riviera in Chicago. We realized we aren't the Hatfields and McCoys, we are so much more similar than we are different on so many levels. It was so nice to see him, it had been 15 years at that point. We hit it off and since then all things have been groovy."
"Performing (Every Day Is) Halloween again was cathartic. Dave Navarro and Dan Cleary were the ones that roped me into it, but it actually brought me joy. It was like a Marie Kondo moment, I didn't have to discard this one."
Ministry's Prescripture: A Visual History is available for purchase now.
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The Industrial Strength Tour hits the road this summer.


text:
Marie Kettnerová (née le  à Prague, morte le  à Londres) est une pongiste tchèque.

Elle a remporté à deux reprises le titre de championne du monde de tennis de table en 1934 et 1935, ainsi que le titre en double en 1936, sous les couleurs de la Tchécoslovaquie.

Elle a été inscrite sur le hall of fame du tennis de table en 1993.

Notes et références

Liens externes

Naissance en avril 1911
Naissance à Prague
Décès en février 1998
Championne du monde de tennis de table
Décès à Londres
Décès à 86 ans
Pongiste (femme) tchécoslovaque

redpajama_set_name: RedPajamaWikipedia


text:
Vomitola
You're the Mary
Ask Kitty Winn
Bespoke Vomitola
Greatest Non-Prosecutable Hits
Let meee get this straight
March 14, 2007 Uncategorizedconspiracy theories, from the desk of cootLicketysplit
I've really got nothing. Normally this does not stop me from typing and typing and typing with abandon, but there is a first time for everything!
I could tell you: we saw some dogs.
I could tell you: Morgellons is really what happens when a "subject" rejects the attempted infestation by black ops-developed bio warfare nano fibers, which would love to get in there and replace your DNA with their own. You have to watch out for the gold-tipped one because it contains a camera. I heard this. You don't want to know. Oh, the coverup is vast. Don't let Big Pharma know I told you, or the Illuminati will be on me like white on rice.
I could tell you: there are people in this world who have sent rockets into space, but these same people cannot enjoy foreign cuisines or resist buying quack medicine.
← Hello, I'll be bribing you today	Just lions smiling in the dark →
One response to "Let meee get this straight"
Aaron Weber says:
The record shows what Armstrong said when he stepped on the moon, but it ignores what the other guy said before takeoff: "Oh shit, I'm sitting on a giant pile of low bids…"
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