Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 39, Issue 13, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/ac5db2
Keywords
black hole entropy; quantum field theory; symmetry
Categories
Funding
- Simons Foundation
- Sloan Foundation
- Packard Foundation
- Air Force Office of Scientific Research [FA9550-19-1-0360]
- US Department of Energy [DE-SC0012567]
- US Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
- World Premier International Research Center Initiative, MEXT, Japan
- JSPS [20K03965]
- National Science Foundation [PHY-1607611]
- Grants-in-Aid for Scientific Research [20K03965] Funding Source: KAKEN
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In this paper, we utilize Euclidean gravity to derive a simple formula for the density of black hole microstates in each irreducible representation of any finite gauge group. Our result provides a new proof of the completeness hypothesis for finite gauge fields, as each representation appears with a nonzero density. Inspired by the generality of our argument, we also propose that the formula applies to high energy situations in any quantum field theory with a finite-group global symmetry and present some evidence for this conjecture.
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.
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