Equivariant localization in supergravity
File(s)PhysRevLett.131.121602.pdf (189.04 KB)
Published version
Author(s)
Genolini, Pietro Benetti
Gauntlett, Jerome P
Sparks, James
Type
Journal Article
Abstract
We show that supersymmetric supergravity solutions with an R-symmetry Killing vector are equipped with a set of equivariantly closed forms. Various physical observables may be expressed as integrals of these forms, and then evaluated using the Berline-Vergne-Atiyah-Bott fixed point theorem. We illustrate with a variety of holographic examples, including on-shell actions, black hole entropies, central charges, and scaling dimensions of operators. The resulting expressions depend only on topological data and the R-symmetry vector, and hence may be evaluated without solving the supergravity equations.
Date Issued
2023-09-22
Date Acceptance
2023-08-28
Citation
Physical Review Letters, 2023, 131 (12)
ISSN
0031-9007
Publisher
American Physical Society
Journal / Book Title
Physical Review Letters
Volume
131
Issue
12
Copyright Statement
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
License URL
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/37802944
Publication Status
Published
Coverage Spatial
United States
Article Number
121602
Date Publish Online
2023-09-18