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Rotating Black Hole Entropy from M5-branes

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arxiv 1909.11612 v3 pith:W2MYDTIO submitted 2019-09-25 hep-th

Francesco Benini , Dongmin Gang , Leopoldo A. Pando Zayas This is my paper · ORCID
classification hep-th
keywords blackindexrotatingsuperconformald-3ddualentropyfunction
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the superconformal index of 3d $\mathcal{N}=2$ superconformal theories obtained from $N$ M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d-3d correspondence, we use perturbative invariants of $SL(N,\mathbb{C})$ Chern-Simons theory to determine the superconformal index in the large $N$ limit, including corrections logarithmic in $N$. The leading order partition function provides a microscopic foundation for the entropy function of the dual rotating asymptotically AdS$_4$ black holes. We also verify that the supergravity one-loop contribution to the $\log N$ term coincides with the field theoretic result. We propose a 3d-3d formulation for the refined topologically twisted index, and provide strong evidence in support of its vanishing --- which agrees with the fact that the expected dual rotating magnetically-charged black hole does not exist. This provides an interesting link between gravity and a tantalizing mathematical result.

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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.

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    hep-th 2024-12 conditional novelty 7.0 of 10

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  4. Moduli-dependent one-loop entropy of hyperbolic BPS black hole in AdS$_4$

    hep-th 2026-02 conditional novelty 6.0 of 10

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  6. 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.

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