An extremization principle for the entropy of rotating BPS black holes in \(\mathrm{AdS}_{5}\)

DOI10.1007/JHEP07(2017)106zbMATH Open1380.83146arXiv1705.05383OpenAlexW3101762747MaRDI QIDQ1696306

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Publication date: 14 February 2018

Published in: (Search for Journal in Brave)

Abstract: We show that the Bekenstein-Hawking entropy of a class of BPS electrically charged rotating black holes in AdS${}_{5}imes{S}^5$ can be obtained by a simple extremization principle. We expect that this extremization corresponds to the attractor mechanism for BPS rotating black holes in five-dimensional gauged supergravity, which is still unknown. The expression to be extremized has a suggestive resemblance to anomaly polynomials and the supersymmetric Casimir energy recently studied for $mathcalN=4$ super Yang-Mills.

Full work available at URL: https://arxiv.org/abs/1705.05383

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