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Title: Rotating black hole entropy from M5-branes

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. SISSA, Trieste (Italy); INFN, Sezione di Trieste (Italy); ICTP, Trieste (Italy)
  2. Korea Institute for Advanced Study, Seoul (Korea); Asia Pacific Center for Theoretical Physics (APCTP), Pohang (Korea)
  3. ICTP, Trieste (Italy); University of Michigan, Ann Arbor, MI (United States)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); NRF; MIUR-SIR
OSTI Identifier:
1650709
Grant/Contract Number:  
SC0007859; 2019R1A2C2004880; RBSI1471GJ
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Black Holes in String Theory; Chern-Simons Theories; Gauge-gravity correspondence; Models of Quantum Gravity

Citation Formats

Benini, Francesco, Gang, Dongmin, and Pando Zayas, Leopoldo A. Rotating black hole entropy from M5-branes. United States: N. p., 2020. Web. https://doi.org/10.1007/jhep03(2020)057.
Benini, Francesco, Gang, Dongmin, & Pando Zayas, Leopoldo A. Rotating black hole entropy from M5-branes. United States. https://doi.org/10.1007/jhep03(2020)057
Benini, Francesco, Gang, Dongmin, and Pando Zayas, Leopoldo A. Tue . "Rotating black hole entropy from M5-branes". United States. https://doi.org/10.1007/jhep03(2020)057. https://www.osti.gov/servlets/purl/1650709.
@article{osti_1650709,
title = {Rotating black hole entropy from M5-branes},
author = {Benini, Francesco and Gang, Dongmin and Pando Zayas, Leopoldo A.},
abstractNote = {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.},
doi = {10.1007/jhep03(2020)057},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2020,
place = {United States},
year = {2020},
month = {3}
}

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