We introduce an entropy function for supersymmetric accelerating black holes in four-dimensional antide Sitter space that uplift on general Sasaki-Einstein manifolds X-7 to solutions of M theory. This allows one to compute the black hole entropy without knowing the explicit solutions. A dual holographic microstate counting would follow from computing certain supersymmetric partition functions of Chern-Simons-matter theories compactified on a spindle. We make a general prediction for a class of such partition functions in terms of "blocks," with each block being constructed from the partition function on a three-sphere.

Entropy functions for accelerating black holes

Dario Martelli
Co-first
;
2023-01-01

Abstract

We introduce an entropy function for supersymmetric accelerating black holes in four-dimensional antide Sitter space that uplift on general Sasaki-Einstein manifolds X-7 to solutions of M theory. This allows one to compute the black hole entropy without knowing the explicit solutions. A dual holographic microstate counting would follow from computing certain supersymmetric partition functions of Chern-Simons-matter theories compactified on a spindle. We make a general prediction for a class of such partition functions in terms of "blocks," with each block being constructed from the partition function on a three-sphere.
2023
130
9
091603-1
091603-6
http://arxiv.org/abs/2210.16069v2
High Energy Physics - Theory
Andrea Boido; Jerome P. Gauntlett; Dario Martelli; James Sparks
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1946277
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