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

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 $Ad{S}_3$ among others. Isometric quotients of spacelike and timelike squashed $Ad{S}_3$ solutions yield extremal black holes without closed causal curves.

36 pages, minor changes, to appear in CQG

References in corpus (5)

• Soft Hair on Black Holes
• The Curious Case of Null Warped Space
• From accelerating and Poincaré coordinates to black holes in spacelike warped AdS${}_3$, and back
• Massive N=2 Supergravity in Three Dimensions
• Rigid Supersymmetric Backgrounds of 3-dimensional Newton-Cartan Supergravity

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• Higher Derivative Supergravities in Diverse Dimensions
• Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
• Supersymmetric Solutions of N = (1,1) General Massive Supergravity
• Minimal $\mathcal{N}=4$ topologically massive supergravity
• Critical N=(1,1) General Massive Supergravity
• The Variational Field Equations of Cosmological Topologically Massive Supergravity
• Critical points of WAdS/CFT and higher-curvature gravity