Supersymmetric solutions of $N=(2,0)$ Topologically Massive Supergravity

TL;DR

This paper analyzes supersymmetric solutions in three-dimensional N=(2,0) supergravity, deriving conditions for preserved supersymmetry and discovering various warped AdS3 solutions, including black holes without closed causal curves.

Contribution

It provides a comprehensive Killing spinor analysis for off-shell N=(2,0) supergravity and finds new supersymmetric solutions within topologically massive supergravity.

Findings

Found conditions for supersymmetry preservation in general backgrounds.

Discovered a large class of warped AdS3 solutions, including black holes.

Identified solutions free of closed causal curves.

Abstract

We first make a Killing spinor analysis for a general three-dimensional off-shell $N=(2,0)$ supergravity and find conditions for a bosonic background to preserve some supersymmetry . We then consider a particular model, namely $N=(2,0)$ topologically massive supergravity and impose its field equations. By making a suitable ansatz on metric functions we find a large class of solutions that include spacelike, timelike and null warped $AdS_3$ among others. Isometric quotients of spacelike and timelike squashed $AdS_3$ solutions yield extremal black holes without closed causal curves.