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Entropy Functions for Accelerating Black Holes
Andrea Boido1, Jerome P Gauntlett2, Dario Martelli3,4
1Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.
Abstract:
We introduce an entropy function for supersymmetric accelerating black holes in four-dimensional anti-de 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.
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