The General Supersymmetric Solution of Minimal Massive Supergravity

TL;DR

This paper derives the most general supersymmetric solutions in minimal massive supergravity in three dimensions, revealing plane wave geometries, null-warped AdS3 spaces, and black holes with supersymmetry.

Contribution

It provides the first comprehensive classification of supersymmetric solutions in minimal massive supergravity by solving Killing spinor equations.

Findings

Most general solutions are plane waves with null Killing vectors.

Identifies null-warped AdS3 geometries as supersymmetric solutions.

Constructs null-warped AdS3 black holes with periodic identifications.

Abstract

Minimal massive supergravity is the supersymmetric extension of minimal massive gravity in three dimensions. The theory admits a supersymmetric anti-de Sitter vacuum around which the propagating modes of spin 2 and 3/2 combine into a supermultiplet. In this letter, we determine the most general supersymmetric solution of the theory by analyzing its Killing spinor equations. Just as for topologically massive supergravity, the general supersymmetric solution is a plane wave with a null Killing vector field. As a particular subclass we find null-warped AdS3 spaces and, with proper periodic identifications, null-warped AdS3 black holes.