Abstract

The gravitational path integral can be used to compute the number of black hole states for a given energy window, or the free energy in a thermal ensemble. In this article we explain how to use the gravitational path integral to compute the separate number of bosonic and fermionic black hole microstates. We do this by comparing the partition function with and without the insertion of (−1)F. In particular we introduce a universal rotating black hole that contributes to the partition function in the presence of (−1)F. We study this problem for black holes in asymptotically flat space and in AdS, putting constraints on the high energy spectrum of holographic CFTs (not necessarily supersymmetric). Finally, we analyze wormhole contributions to related quantities.

Details

Title
Spin-statistics for black hole microstates
Author
Chen, Yiming 1   VIAFID ORCID Logo  ; Turiaci, Gustavo J. 2 

1  Stanford Institute for Theoretical Physics, Stanford, USA (GRID:grid.168010.e) (ISNI:0000000419368956); Princeton University, Physics Department, Princeton, USA (GRID:grid.16750.35) (ISNI:0000 0001 2097 5006) 
2  University of Washington, Physics Department, Seattle, USA (GRID:grid.34477.33) (ISNI:0000 0001 2298 6657); Institute for Advanced Study, Princeton, USA (GRID:grid.78989.37) (ISNI:0000 0001 2160 7918) 
Pages
135
Publication year
2024
Publication date
Apr 2024
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP04(2024)135
ProQuest document ID
3047006916
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.