An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$

Abstract

We show that the Bekenstein-Hawking entropy of a class of BPS electrically charged rotating black holes in AdS${}_5\times S^5$ can be obtained by a simple extremization principle. We expect that this extremization corresponds to the attractor mechanism for BPS rotating black holes in five-dimensional gauged supergravity, which is still unknown. The expression to be extremized has a suggestive resemblance to anomaly polynomials and the supersymmetric Casimir energy recently studied for $\mathcal{N}=4$ super Yang-Mills.

27 pages; v2: refs added; v3: ref added

References in corpus (18)

• Supersymmetric multi-charge AdS_5 black holes
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Localization on Hopf surfaces
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Supersymmetric partition functions and the three-dimensional A-twist
• Entropy function and attractors for AdS black holes
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Near-horizon geometries of supersymmetric AdS(5) black holes
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• Supercurrent anomalies in 4d SCFTs
• 1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space
• Comments on the Casimir energy in supersymmetric field theories
• Static BPS black holes in U(1) gauged supergravity
• Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories
• Dimensional reduction of BPS attractors in AdS gauged supergravities
• New potentials from Scherk-Schwarz reductions
• Black string first order flow in N=2, d=5 abelian gauged supergravity
• Non-Abelian structures in compactifications of M-theory on seven-manifolds with SU(3) structure

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• Lectures on AdS Black Holes, Holography and Localization
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• Universal Spinning Black Holes and Theories of Class $\mathcal{R}$
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
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• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
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• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
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