Supersymmetric Backgrounds and Black Holes in $\mathcal{N}=(1,1)$ Cosmological New Massive Supergravity

Abstract

Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the $\mathcal{N}=(1,1)$ Cosmological New Massive Gravity model. The solutions with a null Killing vector are the same pp-wave solutions that one finds in the $\mathcal{N}=1$ model but we find new solutions with a time-like Killing vector that are absent in the $\mathcal{N}=1$ case. An example of such a solution is a Lifshitz spacetime. We also consider the supersymmetry properties of the so-called rotating hairy BTZ black holes and logarithmic black holes in an $Ad{S}_3$ background. Furthermore, we show that under certain assumptions there is no supersymmetric Lifshitz black hole solution.

27 pages, v2: Typos Corrected, Version appeared in JHEP

References in corpus (6)

• Massive Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• Warped AdS_3 black holes in new massive gravity
• More on Massive 3D Supergravity
• Higher derivative couplings and massive supergravity in three dimensions
• Massive N=2 Supergravity in Three Dimensions

Cited by in corpus (5)

• 3D supergravity from wrapped M5-branes
• Higher Derivative Supergravities in Diverse Dimensions
• Supersymmetric solutions of $N=(2,0)$ Topologically Massive Supergravity
• Supersymmetric Solutions of N = (1,1) General Massive Supergravity
• Critical N=(1,1) General Massive Supergravity