Microscopic entropy of rotating electrically charged \(\mathrm{AdS}_4\) black holes from field theory localization
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Publication:2191697
DOI10.1007/JHEP03(2020)081zbMATH Open1435.83097arXiv1909.07943MaRDI QIDQ2191697
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Publication date: 25 June 2020
Published in: (Search for Journal in Brave)
Abstract: We employ supersymmetric localization to determine the exact partition function of 3d gauge theories on a background given by a round fibered over a circle and certain complexified background fields. The Coulomb branch localization locus includes monopole configurations, and the partition function reduces to a matrix model. We consider the partition function of the ABJM theory on this background as an explicit case. We verify that the large- limit of the ABJM theory partition function produces, in the Cardy limit, the entropy function of the dual rotating, electrically charged asymptotically AdS supersymmetric black holes and thus provides a microscopic explanation for the Bekenstein-Hawking entropy.
Full work available at URL: https://arxiv.org/abs/1909.07943
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