  We construct N=1 d=3 AdS supergravity within the group manifold approach and
compare it with Achucarro-Townsend Chern-Simons formulation of the same theory.
We clarify the relation between the off-shell super gauge transformations of
the Chern-Simons theory and the off-shell worldvolume supersymmetry
transformations of the group manifold action. We formulate the
Achucarro-Townsend model in a double supersymmetric action where the
Chern-Simons theory with a supergroup gauge symmetry is constructed on a
supergroup manifold. This framework is useful to establish a correspondence of
degrees of freedom and auxiliary fields between the two descriptions of d=3
supergravity.
