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

Harlow, Daniel; Ooguri, Hirosi

doi:10.1088/1361-6382/ac5db2

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

Journal Article · Mon Jun 13 00:00:00 EDT 2022 · Classical and Quantum Gravity

DOI:https://doi.org/10.1088/1361-6382/ac5db2· OSTI ID:1901779

Harlow, Daniel ^[1];

^[2]

Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States); University of Tokyo, Kashiwa (Japan)

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.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0011632; SC0012567; PHY-1607611

OSTI ID:: 1901779

Alternate ID(s):: OSTI ID: 1907465; OSTI ID: 1988071

Journal Information:: Classical and Quantum Gravity, Vol. 39, Issue 13; ISSN 0264-9381

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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