Supersymmetric Solutions of N = (1,1) General Massive Supergravity

TL;DR

This paper constructs and classifies supersymmetric solutions in three-dimensional N=(1,1) General Massive Supergravity, revealing new solutions and critical points not present in related models, including Lifshitz and squashed AdS spacetimes.

Contribution

It provides the first comprehensive analysis of supersymmetric solutions in N=(1,1) GMG, identifying new classes of solutions and critical points unique to GMG.

Findings

Identification of pp-wave solutions with null Killing vectors.

Discovery of new stationary Lifshitz and squashed AdS solutions.

Existence of a second AdS background with partial supersymmetry.

Abstract

We construct supersymmetric solutions of three dimensional N = (1,1) General Massive Supergravity (GMG). Solutions with a null Killing vector are in general pp-waves. We identify those that appear at critical points of the model some of which do not exist in N = (1,1) New Massive Supergravity (NMG). In the timelike case, we find that many solutions are common with NMG but there is a new class that is genuine to GMG, two members of which are stationary Lifshitz and timelike squashed AdS spacetimes. We also show that in addition to the fully supersymmetric AdS vacuum, there is a second AdS background with a non-zero vector field that preserves 1/4 supersymmetry.