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arXiv · 2210.16069

Entropy functions for accelerating black holes

Andrea Boido·Jerome P. Gauntlett·Dario Martelli·James Sparks
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Abstract

We introduce an entropy function for supersymmetric accelerating black holes in $AdS_4$, 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.

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Andrea Boido, Jerome P. Gauntlett, Dario Martelli, James Sparks. 2023-07-26. Entropy functions for accelerating black holes. https://doi.org/10.1103/physrevlett.130.091603

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