Massive 3D supergravity

We construct the three-dimensional supergravity theory with cosmological, Einstein–Hilbert, Lorentz Chern–Simons, and general curvature squared terms. We determine the general supersymmetric configuration, and find a family of supersymmetric adS vacua with the supersymmetric Minkowski vacuum as a limiting case. Linearizing about the Minkowski vacuum, we find three classes of unitary theories; one is the supersymmetric extension of the recently discovered 'massive 3D gravity'. Another is a 'new topologically massive supergravity' (with no Einstein–Hilbert term) that propagates a single helicity supermultiplet.