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Equivariant Localization in Supergravity

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BLH - Black holes: bridges between number theory and holographic quantum information

We show that supersymmetric supergravity solutions with an R-symmetry Killing vector are equipped with a set of equivariantly closed forms. The Berline-Vergne-Atiyah-Bott fixed point theorem can then be used to compute various holographic observables, including central charges, on-shell actions and black hole entropies, without solving the supergravity equations. These results explain many results in the literature and allow oneto compute many new results for solutions that are unlikely ever to be constructed in explicit form.

This talk is part of the Isaac Newton Institute Seminar Series series.

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