Logarithmic correction to BPS black hole entropy from supersymmetric index at finite temperature

Autor: A. H. Anupam, P. V. Athira, Chandramouli Chowdhury, Ashoke Sen
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 3, Pp 1-19 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2024)095
Popis: 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 AdS2 × 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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