  We construct supersymmetric deformations of general, locally supersymmetric,
nonlinear sigma models in three spacetime dimensions, by extending the pure
supergravity theory with a Chern-Simons term and gauging a subgroup of the
sigma model isometries, possibly augmented with R-symmetry transformations.
This class of models is shown to include theories with standard Yang-Mills
Lagrangians, with optional moment interactions and topological mass terms. The
results constitute a general classification of three-dimensional gauged
supergravities.
