Equivariant localization in supergravity
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915061572829184 |
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| author | Genolini, Pietro Benetti Gauntlett, Jerome P. Sparks, James |
| author_facet | Genolini, Pietro Benetti Gauntlett, Jerome P. Sparks, James |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_03868 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equivariant localization in supergravity Genolini, Pietro Benetti Gauntlett, Jerome P. Sparks, James High Energy Physics - Theory 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. |
| title | Equivariant localization in supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.03868 |