Supersymmetric G\"odel and warped black holes in string theory

TL;DR

This paper demonstrates that three-dimensional G"odel black holes can be embedded into string theory backgrounds, revealing their supersymmetric properties and connections to warped black holes in topologically massive gravity.

Contribution

It introduces a method to realize G"odel black holes as exact string backgrounds via orbifolds of SL(2,R) WZW models and explores their supersymmetry and relation to warped AdS_3 black holes.

Findings

G"odel black holes are exact string backgrounds via orbifolds.

Extremal solutions preserve one supersymmetry.

Connections established with warped black holes in massive gravity.

Abstract

It is observed that three-dimensional G\"odel black holes can be promoted to exact string theory backgrounds through an orbifold of an hyperbolic asymmetric marginal deformation of the SL(2,R) WZW model. Tachyons are found in the spectrum of long strings. Uplifting these solutions in type IIB supergravity, extremal black holes are shown to preserve one supersymmetry in accordance with the BTZ limit. We also make connections with some recently discussed warped black hole solutions of topologically massive gravity, showing that they actually correspond to quotients of spacelike squashed AdS_3.