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Abstract
We analyze BPS black hole attractors in the conformal 4d gauged supergravity formalism and apply the technique known as supergravity localization in order to evaluate Sen’s quantum entropy function [1] in the AdS2×S2 near-horizon geometry. Under certain assumptions, we reduce the exact expression of the functional integral to a finite-dimensional integral for a number of supersymmetric black holes in gauged supergravity with AdS asymptotics subject to a holographic description via a dual field theory. Examples include the asymptotically AdS4×S7 Cacciatori-Klemm black holes [2] in M-theory and the asymptotically AdS5×S5 generalizations of Gutowski-Reall black holes [3] and Benini-Bobev black strings [4] in type IIB, as well as the recently constructed asymptotically AdS4×S6 solutions [5, 6] in massive type IIA. Our results provide an important first step towards a gravitational counterpart to the exact evaluation of supersymmetric partition functions at finite N for the holographically dual field theories in these examples.
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; Reys, Valentin 3 1 Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
2 Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, China
3 Dipartimento di Fisica, Università di Milano-Bicocca, Milano, Italy; INFN, sezione di Milano-Bicocca, Milano, Italy