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arXiv · 2306.03868

Equivariant localization in supergravity

Pietro Benetti Genolini·Jerome P. Gauntlett·James Sparks
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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.

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Pietro Benetti Genolini, Jerome P. Gauntlett, James Sparks. 2023-06-06. Equivariant localization in supergravity. https://doi.org/10.1103/physrevlett.131.121602

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