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Microscopic Entropy of Rotating Electrically Charged AdS$_4$ Black Holes from Field Theory Localization

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arxiv 1909.07943 v3 pith:SFLBD2JO submitted 2019-09-17 hep-th

Jun Nian , Leopoldo A. Pando Zayas This is my paper · ORCID
classification hep-th
keywords functionpartitionbackgroundentropylocalizationtheoryabjmblack
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We employ supersymmetric localization to determine the exact partition function of 3d $\mathcal{N}=2$ gauge theories on a background given by a round $S^2$ 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-$N$ limit of the ABJM theory partition function produces, in the Cardy limit, the entropy function of the dual rotating, electrically charged asymptotically AdS$_4$ supersymmetric black holes and thus provides a microscopic explanation for the Bekenstein-Hawking entropy.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cardy limit of the 3d superconformal index

    hep-th 2025-09 conditional novelty 8.0 of 10

    In the Cardy limit the 3d superconformal index obeys Z ~ beta^{-#} on the first sheet and Z ~ e^{#/beta} on the second, with gauge-enhancing saddles screened for non-chiral theories.

  2. The Superconformal Index and Black Hole Instabilities

    hep-th 2025-02 reject novelty 5.0 of 10

    The two-angular-momentum superconformal index of N=4 SYM has degeneracy tails beyond the entropy of the single AdS5 black hole, interpreted as grey galaxy signatures.

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