  Recent work has shown that local supersymmetry on a spacetime boundary in
$\mathcal{N}$-extended AdS supergravity in chiral variables implies coupling to
a boundary $\mathrm{OSp}(\mathcal{N}|2)_{\mathbb{C}}$ super Chern-Simons
theory. We propose a way to calculate the entropy $S$ for the boundary, in the
supersymmetric version of loop quantum gravity, for the minimal case
$\mathcal{N}=1$. We calculate the dimensions of the quantum state spaces of
$\mathrm{UOSp}(1|2)$ super Chern-Simons theory with punctures, and analytically
continue, for fixed quantum super area of the surface, to
$\mathrm{OSp}(1|2)_{\mathbb{C}}$. We find $S = a_H/4$ for large areas and
determine the subleading correction.
