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Logarithmic Correction to BPS Black Hole Entropy from Supersymmetric Index at Finite Temperature

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arxiv 2306.07322 v2 pith:HUGYF5XW submitted 2023-06-12 hep-th

Anupam A.H. , P.V. Athira , Chandramouli Chowdhury , Ashoke Sen This is my paper
classification hep-th
keywords blackentropyholesupersymmetricholesindexlogarithmictemperature
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

It has been argued by Iliesiu, Kologlu and Turiaci in arXiv:2107.09062 that one can compute the supersymmetric index of black holes using black hole geometry carrying finite temperature but a specific complex angular velocity. We follow their prescription to compute the logarithmic correction to the entropy of BPS states in four dimensions, defined as the log of the index of supersymmetric black holes, and find perfect agreement with the previous results for the same quantity computed using the near horizon $AdS_2 \times S^2$ geometry of zero temperature black holes. Besides giving an independent computation of supersymmetric black hole entropy, this analysis also provides a test of the procedure used previously for computing logarithmic corrections to Schwarzschild and other non-extremal black hole entropy.

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Cited by 4 Pith papers

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

  1. Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Proposes a CFT analogue of Hodge loci in Calabi-Yau sigma models via non-trivial TDL categories of topological defects, with CM number field embeddings at special points for elliptic curves and K3 surfaces.

  2. Multicentered black hole saddles for supersymmetric indices

    hep-th 2025-07 conditional novelty 7.0 of 10

    Multi-center black hole saddles for the supersymmetric index exist at finite temperature, their on-shell action is the sum of extremal entropies, and the entire moduli space of saddles vanishes at walls of marginal stability.

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

    hep-th 2026-02 conditional novelty 6.0 of 10

    The one-loop logarithmic entropy correction for a hyperbolic BPS black hole in AdS4 depends on the unfixed horizon scalar modulus and acts as a quantum potential that lifts the classical flat direction.

  4. Index saddle for supersymmetric F1-P black ring

    hep-th 2026-01 conditional novelty 6.0 of 10

    A complex supergravity solution is identified as the index saddle of the F1–P small black ring; its higher-derivative corrections reproduce the microscopic index √(nw−JQ) up to an unfixed constant, in a restricted thi...

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