Entropy functions for accelerating black holes

Abstract

We introduce an entropy function for supersymmetric accelerating black holes in $Ad{S}_4$, 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.

6 pages, very minor changes, published version

References in corpus (7)

• Sasaki-Einstein Manifolds and Volume Minimisation
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Supersymmetric spindles
• Comments on AdS2 solutions of D=11 Supergravity
• D4-branes wrapped on a spindle
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers

Cited by in corpus (14)

• Equivariant localization in supergravity
• Equivariant localization and holography
• The Spindle Index from Localization
• Localization and Attraction
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• Solutions and basic properties of regularized Maxwell theory
• Microstates of accelerating and supersymmetric AdS${}_4$ black holes from the spindle index
• Quasinormal Modes of C-metric from SCFTs
• Thermodynamic topological classes of the rotating, accelerating black holes
• Thermodynamics of charged and accelerating black holes
• NUTs, Bolts, and Spindles
• Gravitational Blocks: Symplectic Covariance Unveiled
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• Null integrability and photon phenomenology in the accelerated Schwarzschild black hole