Entropy functions of BPS black holes in AdS${}_4$ and AdS${}_6$

Abstract

We find the entropy functions of supersymmetric black holes in AdS${}_4$ and AdS${}_6$ with electric charges and angular momenta. Extremizing these functions, one obtains the entropies and the chemical potentials of known analytic black hole solutions.

arXiv comment16 pages, no figures, v2: references added, fixed overall sign for the entropy function of supersymmetric AdS${}_4$ black holes

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Cited by in corpus (32)

• Accelerating Black Holes and Spinning Spindles
• Lectures on AdS Black Holes, Holography and Localization
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Supersymmetric phases of 4d N=4 SYM at large N
• Rotating Black Hole Entropy from M5-branes
• Universal 3d Cardy Block and Black Hole Entropy
• Black hole entropy function for toric theories via Bethe Ansatz
• Supersymmetric Rényi entropy and charged hyperbolic black holes
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• Gravitational Cardy Limit and AdS Black Hole Entropy
• Large $N$ Superconformal Indices for 3d Holographic SCFTs
• Supersymmetric phases of AdS${}_4$/CFT${}_3$
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• Giant Gravitons and Volume Minimisation
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes