Entropy functions for accelerating black holes
Abstract
We introduce an entropy function for supersymmetric accelerating black holes in AdS4, that uplift on general Sasaki-Einstein manifolds X7 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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