Journal article
Equivariant localization in supergravity
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 231.1KB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevLett.131.121602
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review Letters More from this journal
- Volume:
- 131
- Issue:
- 12
- Article number:
- 121602
- Publication date:
- 2023-09-18
- Acceptance date:
- 2023-08-28
- DOI:
- EISSN:
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1079-7114
- ISSN:
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0031-9007
- Language:
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English
- Keywords:
- Pubs id:
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1517301
- Local pid:
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pubs:1517301
- Deposit date:
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2023-08-28
- ARK identifier:
Terms of use
- Copyright date:
- 2023
- Rights 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.
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