The near-horizon geometry of supersymmetric rotating \( \mathrm{AdS}_4\) black holes in M-theory
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Publication:2048041
DOI10.1007/JHEP05(2021)194zbMATH Open1466.83050arXiv2011.07071MaRDI QIDQ2048041
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Publication date: 4 August 2021
Published in: (Search for Journal in Brave)
Abstract: We classify the necessary and sufficient conditions to obtain the near-horizon geometry of extremal supersymmetric rotating black holes embedded in 11d supergravity. Such rotating black holes admit an AdS near-horizon geometry which is fibered by the transverse spacetime directions. Despite their clear interest to understanding the entropy of rotating black holes, these solutions have evaded all previous supersymmetric classification programs due to the non-trivial fibration structure. In this paper we allow for the most general fibration over AdS with a flux configuration permitting rotating M2-branes. Using G-structure techniques we rewrite the conditions for supersymmetry in terms of differential equations on an eight-dimensional balanced space. The 9d compact internal space is a U-fibration over this 8d base. The geometry is constrained by a master equation reminiscent of the one found in the non-rotating case. We give a Lagrangian from which the equations of motion may be derived, and show how the asymptotically AdS electrically charged Kerr-Newman black hole in 4d supergravity is embedded in the classification. In addition, we present the conditions for the near-horizon geometry of rotating black strings in Type IIB by using dualities with the 11d setup.
Full work available at URL: https://arxiv.org/abs/2011.07071
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