A universal formula for the density of states in theories with finite-group symmetry
Abstract
In this study 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.
- Authors:
-
[2]
- Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)
- California Institute of Technology (CalTech), Pasadena, CA (United States); University of Tokyo, Kashiwa (Japan)
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
- OSTI Identifier:
- 1901779
- Alternate Identifier(s):
- OSTI ID: 1907465; OSTI ID: 1988071
- Grant/Contract Number:
- SC0011632; SC0012567; PHY-1607611
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Classical and Quantum Gravity
- Additional Journal Information:
- Journal Volume: 39; Journal Issue: 13; Journal ID: ISSN 0264-9381
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Harlow, Daniel, and Ooguri, Hirosi. A universal formula for the density of states in theories with finite-group symmetry. United States: N. p., 2022.
Web. doi:10.1088/1361-6382/ac5db2.
Harlow, Daniel, & Ooguri, Hirosi. A universal formula for the density of states in theories with finite-group symmetry. United States. https://doi.org/10.1088/1361-6382/ac5db2
Harlow, Daniel, and Ooguri, Hirosi. Mon .
"A universal formula for the density of states in theories with finite-group symmetry". United States. https://doi.org/10.1088/1361-6382/ac5db2. https://www.osti.gov/servlets/purl/1901779.
@article{osti_1901779,
title = {A universal formula for the density of states in theories with finite-group symmetry},
author = {Harlow, Daniel and Ooguri, Hirosi},
abstractNote = {In this study 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.},
doi = {10.1088/1361-6382/ac5db2},
journal = {Classical and Quantum Gravity},
number = 13,
volume = 39,
place = {United States},
year = {Mon Jun 13 00:00:00 EDT 2022},
month = {Mon Jun 13 00:00:00 EDT 2022}
}
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