Published July 7, 2022
| Submitted
Journal Article
Open
A universal formula for the density of states in theories with finite-group symmetry
- Creators
-
Harlow, Daniel
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Ooguri, Hirosi
Abstract
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.
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.Attached Files
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Additional details
- Alternative title
- A Euclidean Perspective on Completeness and Weak Gravity
- Eprint ID
- 110986
- DOI
- 10.1088/1361-6382/ac5db2
- Resolver ID
- CaltechAUTHORS:20210922-181613283
- Simons Foundation
- Alfred P. Sloan Foundation
- David and Lucile Packard Foundation
- 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)
- Japan Society for the Promotion of Science (JSPS)
- 20K03965
- NSF
- PHY-1607611
- Created
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2021-09-22Created from EPrint's datestamp field
- Updated
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2022-06-30Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2021-032