A note on the entropy of rotating BPS AdS${}_7\times S^4$ black holes

Abstract

In this note we show that the entropy of BPS, rotating, electrically charged AdS${}_7\times S^4$ black holes can be obtained by an extremization principle involving a particular combination of anomaly coefficients of the six-dimensional $\mathcal{N}=(2,0)$ theory. This result extends our previous finding for BPS, rotating AdS${}_5\times S^5$ black holes.

21 pages

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Cited by in corpus (39)

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• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• The BPS limit of rotating AdS black hole thermodynamics
• A 4d N=1 Cardy Formula
• Lectures on AdS Black Holes, Holography and Localization
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Gluing gravitational blocks for AdS black holes
• Topologically twisted indices in five dimensions and holography
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Sub-leading Structures in Superconformal Indices: Subdominant Saddles and Logarithmic Contributions
• Superconformal indices at large $N$ and the entropy of AdS${}_5$ $\times$ SE${}_5$ black holes
• Entropy functions of BPS black holes in AdS${}_4$ and AdS${}_6$
• The large-$N$ limit of the 4d $\mathcal{N}=1$ superconformal index
• Black hole entropy function for toric theories via Bethe Ansatz
• 6D attractors and black hole microstates
• AdS${}_7$ Black-Hole Entropy and 5D $\mathcal{N}=2$ Yang-Mills
• Rotating Hairy Black Holes in AdS${}_5\times$S${}^5$
• Gravitational Cardy Limit and AdS Black Hole Entropy
• Higher-derivative corrections to flavoured BPS black hole thermodynamics and holography
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• Black Hole Entropy from Quantum Mechanics
• The dark (BPS) side of thermodynamics in Minkowski${}_4$
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• Supersymmetric $Ad{S}_5$ black holes and strings from 5D $N=4$ gauged supergravity
• Squashing the Boundary of Supersymmetric AdS${}_5$ Black Holes
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Cardy Limits of 6d Superconformal Theories
• Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• How to Build a Black Hole out of Instantons
• Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity
• New supersymmetric AdS${}_6$ black holes from matter-coupled F(4) gauged supergravity
• Thermodynamics of Near BPS Black Holes in AdS${}_4$ and AdS${}_7$
• Thermodynamics of BPS and Near-BPS AdS6 Black Holes
• Kerr-Newman black holes from $\mathcal{N}=1^{\ast }$
• Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes
• Off-shell phase diagram of BPS black holes in AdS${}_5$
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes
• Supersymmetric AdS${}_6$ black holes from ISO(3)xU(1) F(4) gauged supergravity