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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 6 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. Constants in Sequences of M2-brane Partition Functions

    hep-th 2026-08 conditional novelty 7.0 of 10

    The N-independent constants of the ABJM and ADHM Bethe potentials and of the ABJM twisted index are expressed as finite combinations of the constant map function A.

  3. Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes

    hep-th 2024-12 conditional novelty 7.0 of 10

    Near-BPS dyonic AdS4 black holes with a theta angle show a Witten-effect charge shift that reduces the mass gap and the index, and at the special angle both the Bekenstein-Hawking entropy and the supersymmetric index ...

  4. The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap

    hep-th 2024-12 conditional novelty 6.0 of 10

    Near-BPS AdS4 Kerr-Newman black holes are described by an SU(1,1|1) super-Schwarzian theory, yielding a predicted mass gap of order N^{-3/2} and a continuous spectrum above it in ABJM.

  5. Aspects of AdS$_2$ classification in M-theory: Solutions with mesonic and baryonic charges

    hep-th 2019-08 conditional novelty 6.0 of 10

    The paper gives necessary and sufficient geometric conditions for N=(1,0) AdS2 solutions in M-theory with SU(4)-structure, and presents numerical evidence for a new Q^{1,1,1} solution with both mesonic and baryonic charges.

  6. 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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