Massive 3D Supergravity

TL;DR

This paper constructs a new class of three-dimensional supergravity theories with various curvature terms, identifies supersymmetric vacua, and classifies unitary models including a massive gravity extension.

Contribution

It introduces a novel N=1 3D supergravity framework with multiple curvature squared terms and classifies its supersymmetric vacua and unitary models.

Findings

Identified supersymmetric AdS and Minkowski vacua.

Classified three classes of unitary theories.

Extended massive 3D gravity with supersymmetry.

Abstract

We construct the N=1 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 (2,3/2) helicity supermultiplet.