Rotating black hole entropy from M5-branes

Benini, Francesco; Gang, Dongmin; Pando Zayas, Leopoldo A.

doi:10.1007/jhep03(2020)057

Title: Rotating black hole entropy from M5-branes

Journal Article · 09 March 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2020)057 · OSTI ID:1650709

Benini, Francesco ^[1]; Gang, Dongmin ^[2]; Pando Zayas, Leopoldo A. ^[3]

SISSA, Trieste (Italy); INFN, Sezione di Trieste (Italy); ICTP, Trieste (Italy); University of Michigan, Ann Arbor MI
Korea Institute for Advanced Study, Seoul (Korea); Asia Paciﬁc Center for Theoretical Physics (APCTP), Pohang (Korea)
ICTP, Trieste (Italy); University of Michigan, Ann Arbor, MI (United States)

We compute the superconformal index of 3d N = 2 superconformal field theories obtained from N M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d-3d correspondence, we use perturbative invariants of SL(N, 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 AdS₄ 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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Research Organization:: University of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); NRF; MIUR-SIR

Grant/Contract Number:: SC0007859

OSTI ID:: 1650709

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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