Localization and Attraction
arXiv:2401.10977 · doi:10.1007/JHEP05(2024)152
Abstract
We use equivariant localization to construct off-shell entropy functions for supersymmetric black holes in , 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 which have an near horizon geometry, where 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 supergravity which have an near horizon geometry, and in this setting we derive an off-shell expression for the central charge of the dual , ~SCFT.
64 pages. Published version
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