A universal formula for the density of states in theories with finite-group symmetry
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 13, 2022
- Source ID
- 10.1088/1361-6382/ac5db2
Entities
People
- Daniel Harlow
- Hirosi Ooguri
Organizations
- Alfred P. Sloan Foundation
- David and Lucile Packard Foundation
- Japan Society for the Promotion of Science
- National Science Foundation
- Simons Foundation
- United States Department of Defense
- United States Department of Energy