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Entropy functions for accelerating black holes

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arxiv 2210.16069 v2 pith:QDV3WKYD submitted 2022-10-28 hep-th

classification hep-th
keywords blackentropyfunctionspartitionacceleratingfunctiongeneralholes
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 5 Pith papers

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