Localization and attraction

doi:10.1007/JHEP05(2024)152

Localization and attraction

2024-05-14

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Pietro Benetti Genolini *

DOI：10.1007/JHEP05(2024)152

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We use equivariant localization to construct off-shell entropy functions for supersymmetric black holes in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{N}$$\end{document} = 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 x 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 x M 2 near horizon geometry, and in this setting we derive an off-shell expression for the central charge of the dual \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{N}$$\end{document} = (0, 2), d = 2 SCFT.

Keywords:

AdS-CFT Correspondence

Supergravity Models

Black Holes in String Theory

Localization and attraction

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