Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes

Abstract

We study the thermodynamics of $Ad{S}_4$ black hole solutions of Einstein-Maxwell theory that are accelerating, rotating, and carry electric and magnetic charges. We focus on the class for which the black hole horizon is a spindle and can be uplifted on regular Sasaki-Einstein spaces to give solutions of $D=11$ supergravity that are free from conical singularities. We use holography to calculate the Euclidean on-shell action and to define a set of conserved charges which give rise to a first law. We identify a complex locus of supersymmetric and non-extremal solutions, defined through an analytic continuation of the parameters, upon which we obtain a simple expression for the on-shell action. A Legendre transform of this action combined with a reality constraint then leads to the Bekenstein-Hawking entropy for the class of supersymmetric and extremal black holes.

arXiv comment47 pages. Very minor changes; published version

References in corpus (54)

• A Stress Tensor for Anti-de Sitter Gravity
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS${}_5$ black holes
• A topologically twisted index for three-dimensional supersymmetric theories
• Supersymmetric Field Theories on Three-Manifolds
• Supersymmetry of Anti-de Sitter Black Holes
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Exact microstate counting for dyonic black holes in AdS4
• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• Holographic Thermodynamics Requires a Chemical Potential for Color
• Black holes in 4d $\mathcal{N}=4$ Super-Yang-Mills
• Holographic Thermodynamics of Accelerating Black Holes
• Thermodynamics of AdS Black Holes: Central Charge Criticality
• Solitonic Black Holes in Gauged N=2 Supergravity
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Accelerating Black Holes and Spinning Spindles
• Wrapped M5-branes, consistent truncations and AdS/CMT
• D3-branes wrapped on a spindle
• Large $N$ matrix models for 3d $\mathcal{N}=2$ theories: twisted index, free energy and black holes
• The BPS limit of rotating AdS black hole thermodynamics
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Supersymmetry in Lorentzian Curved Spaces and Holography
• Black hole entropy in massive Type IIA
• Gluing gravitational blocks for AdS black holes
• Microstate Counting of $Ad{S}_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Thermodynamics of Charged, Rotating, and Accelerating Black Holes
• Accelerating Kerr-Newman black holes in (anti-)de Sitter space-time
• Localization of the action in AdS/CFT
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Systematics of consistent truncations from generalised geometry
• Large AdS black holes from QFT
• M5-branes wrapped on a spindle
• Universal Spinning Black Holes and Theories of Class $\mathcal{R}$
• Rotating multi-charge spindles and their microstates
• Rotating Black Hole Entropy from M5-branes
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Entropy functions of BPS black holes in AdS${}_4$ and AdS${}_6$
• Supersymmetry on Three-dimensional Lorentzian Curved Spaces and Black Hole Holography
• A note on the entropy of rotating BPS AdS${}_7\times S^4$ black holes
• Mass-deformed ABJM and Black Holes in AdS${}_4$
• Twisted D3-brane and M5-brane compactifications from multi-charge spindles
• Holographic Duals of Argyres-Douglas Theories
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• Entropy functional and the holographic attractor mechanism
• Supersymmetry of the C-metric and the general Plebanski-Demianski solution
• Supersymmetric Rényi entropy and charged hyperbolic black holes
• Quantum vortices, M2-branes and black holes
• On the On-Shell: The Action of AdS${}_4$ Black Holes

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• Logarithmic Corrections to Thermodynamics of Accelerating Black Holes
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• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• Validity of black hole complementarity in an accelerating Schwarzschild black hole
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• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
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