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A universal formula for the density of states in theories with finite-group symmetry

Harlow, Daniel and Ooguri, Hirosi (2022) A universal formula for the density of states in theories with finite-group symmetry. Classical and Quantum Gravity, 39 (13). Art. No. 134003. ISSN 0264-9381. doi:10.1088/1361-6382/ac5db2.

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In this paper we use Euclidean gravity to derive a simple formula for the density of black hole microstates which transform in each irreducible representation of any finite gauge group. Since each representation appears with nonzero density, this gives a new proof of the completeness hypothesis for finite gauge fields. Inspired by the generality of the argument we further propose that the formula applies at high energy in any quantum field theory with a finite-group global symmetry, and give some evidence for this conjecture.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Harlow, Daniel0000-0002-1005-4745
Ooguri, Hirosi0000-0001-6021-3778
Alternate Title:A Euclidean Perspective on Completeness and Weak Gravity
Additional Information:© 2022 IOP Publishing Ltd. Received 3 December 2021; Revised 13 February 2022; Accepted 14 March 2022; Published 13 June 2022. We thank Luca Iliesiu, Juan Maldacena, Subir Sachdev, and Joaquin Turiaci for pointing out an error in a discussion of the weak gravity conjecture which appeared in the first version of this paper, and we particularly thank Luca and Joaquin for many useful explanations. We also thank Chris Akers, Ben Heidenreich, Gary Horowitz, Henry Lin, Hong Liu, Juan Maldacena, Don Marolf, Sridip Pal, Matt Reece, Tom Rudelius, Ashoke Sen, and Cumrun Vafa for useful comments and discussion. DH is supported by the Simons Foundation as a member of the 'It from Qubit' collaboration, the Sloan Foundation as a Sloan Fellow, the Packard Foundation as a Packard Fellow, the Air Force Office of Scientific Research under the award number FA9550-19-1-0360, and the US Department of Energy under the task C Grant DE-SC0012567. The work of HO is supported in part by the US Department of Energy, Office of Science, Office of High Energy Physics, under the award number DE-SC0011632, by the World Premier International Research Center Initiative, MEXT, Japan, and by JSPS Grant-in-Aid for Scientific Research 20K03965. This work was performed in part at Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611. Data availability statement: No new data were created or analysed in this study.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-19-1-0360
Department of Energy (DOE)DE-SC0012567
Department of Energy (DOE)DE-SC0011632
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)20K03965
Subject Keywords:black hole entropy, quantum field theory, symmetry
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Issue or Number:13
Record Number:CaltechAUTHORS:20210922-181613283
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Official Citation:Daniel Harlow and Hirosi Ooguri 2022 Class. Quantum Grav. 39 134003
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110986
Deposited By: Joy Painter
Deposited On:22 Sep 2021 18:55
Last Modified:30 Jun 2022 16:58

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