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arXiv · 1507.06928

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

Gokhan Alkac·Luca Basanisi·Eric A. Bergshoeff·Deniz Olgu Devecioglu·Mehmet Ozkan
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Abstract

Using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the ${\cal N}=(1,1)$ Cosmological New Massive Gravity model. The solutions with a null Killing vector are the same pp-wave solutions that one finds in the ${\cal N}=1$ model but we find new solutions with a time-like Killing vector that are absent in the ${\cal N}=1$ 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 $AdS_3$ background. Furthermore, we show that under certain assumptions there is no supersymmetric Lifshitz black hole solution.

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Gokhan Alkac, Luca Basanisi, Eric A. Bergshoeff, Deniz Olgu Devecioglu, Mehmet Ozkan. 2015-10-27. Supersymmetric Backgrounds and Black Holes in ${\cal N}=(1,1)$ Cosmological New Massive Supergravity. https://doi.org/10.1007/jhep10(2015)141

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