  In this article, the Cartan geometric approach toward (extended) supergravity
in the presence of boundaries will be discussed. In particular, based on new
developments in this field, we will derive the Holst variant of the
MacDowell-Mansouri action for $\mathcal{N}=1$ and $\mathcal{N}=2$ pure AdS
supergravity in $D=4$ for arbitrary Barbero-Immirzi parameters. This action
turns out to play a crucial role in context of boundaries in the framework of
supergravity if one imposes supersymmetry invariance at the boundary. For the
$\mathcal{N}=2$ case, it follows that this amounts to the introduction of a
$\theta$-topological term to the Yang-Mills sector which explicitly depends on
the Barbero-Immirzi parameter. This shows the close connection between this
parameter and the $\theta$-ambiguity of gauge theory. We will also discuss the
chiral limit of the theory, which turns out to possess some very special
properties such as the manifest invariance of the resulting action under an
enlarged gauge symmetry. Moreover, we will show that demanding supersymmetry
invariance at the boundary yields a unique boundary term corresponding to a
super Chern-Simons theory with $\mathrm{OSp}(\mathcal{N}|2)$ gauge group. In
this context, we will also derive boundary conditions that couple boundary and
bulk degrees of freedom and show equivalence to the results found in the
D'Auria-Fr\'e approach in context of the non-chiral theory. These results
provide a step towards of quantum description of supersymmetric black holes in
the framework of loop quantum gravity.

General Relativity and Quantum Cosmology;High Energy Physics - Theory