  We discuss two exotic objects, which must be experimentally identified in
chiral superfluids and superconductors. These are (i) the vortex with
fractional quantum number (N=1/2 in chiral superfluids, and N=1/2 and N=1/4 in
chiral superconductors), which plays the part ofthe Alice string in
relativistic theories; and (ii) the hedgehog in the l-field, which is the
counterpart of the Dirac magnetic monopole. These objects of different
dimensions are topologically connected. They form the combined object which is
called nexus in relativistic theories. In chiral superconductors the nexus has
magnetic charge emanating radially from the hedgehog, while the half-quantum
vortices play the part of the Dirac string. Each of them supplies the
fractional magnetic flux to the hedgehog, representing 1/4 of the
"conventional" Dirac string. We discuss the topological interaction of the
superconductor's nexus with the `t Hooft-Polyakov magnetic monopole, which can
exist in GUT. The `t Hooft-Polyakov magnetic monopole and the hedgehog with the
same magnetic charge are topologically confined by a piece of the Abrikosov
vortex. Other properties of half-quantum vortices and monopoles are discussed
as well, including fermion zero modes.

Condensed Matter;High Energy Physics - Phenomenology