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On the quantum entropy function in 4d gauged supergravity
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Journal Article
On the quantum entropy function in 4d gauged supergravity
2018
Overview
A
bstract
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 AdS
2
×S
2
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 AdS
4
×S
7
Cacciatori-Klemm black holes [2] in M-theory and the asymptotically AdS
5
×S
5
generalizations of Gutowski-Reall black holes [3] and Benini-Bobev black strings [4] in type IIB, as well as the recently constructed asymptotically AdS
4
×S
6
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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
