Localization and Attraction

We use equivariant localization to construct off-shell entropy functions for supersymmetric black holes in \(\mathcal{N}=2\), \(D=4\) gauged supergravity coupled to matter. This allows one to compute the black hole entropy without solving the supergravity equations of motion and provides a novel gen...

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Bibliographic Details
Published in:arXiv.org 2024-05
Main Authors: Pietro Benetti Genolini, Gauntlett, Jerome P, Jiao, Yusheng, Lüscher, Alice, Sparks, James
Format: Article
Language:English
Subjects:
Entropy
Equations of motion
Localization
Supergravity
Online Access:Get full text
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Summary:We use equivariant localization to construct off-shell entropy functions for supersymmetric black holes in \(\mathcal{N}=2\), \(D=4\) gauged supergravity coupled to matter. This allows one to compute the black hole entropy without solving the supergravity equations of motion and provides a novel generalization of the attractor mechanism. We consider magnetically charged black holes in \(AdS_4\) which have an \(AdS_2\times M_2\) near horizon geometry, where \(M_2\) is a sphere or a spindle, and we also obtain entropy functions for ungauged supergravity as a simple corollary. We derive analogous results for black strings and rings in \(D=5\) supergravity which have an \(AdS_3\times M_2\) near horizon geometry, and in this setting we derive an off-shell expression for the central charge of the dual \(\mathcal{N}=(0,2)\), \(d=2\)~SCFT.
ISSN:2331-8422
DOI:10.48550/arxiv.2401.10977