Gluing gravitational blocks for AdS black holes

Abstract

We provide a unifying entropy functional and an extremization principle for black holes and black strings in AdS${}_4\times S^7$ and AdS${}_5\times S^5$ with arbitrary rotation and generic electric and magnetic charges. This is done by gluing gravitational blocks, basic building blocks that are directly inspired by the holomorphic blocks appearing in the factorization of supersymmetric partition functions in three and four dimensions. We also provide an explicit realization of the attractor mechanism by identifying the values of the scalar fields at the horizon with the critical points of the entropy functional. We give examples based on dyonic rotating black holes with a twist in AdS${}_4\times S^7$, rotating black strings in AdS${}_5\times S^5$, dyonic Kerr-Newman black holes in AdS${}_4\times S^7$ and Kerr-Newman black holes in AdS${}_5\times S^5$. In particular, our entropy functional extends existing results by adding rotation to the twisted black holes in AdS${}_4$ and by adding flavor magnetic charges for the Kerr-Newman black holes in AdS${}_4$. We also discuss generalizations to higher-dimensional black objects.

44 pages, v2: Published version, (6.17) corrected; v3: typos corrected

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• Supersymmetric multi-charge AdS_5 black holes
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Generalized Superconformal Index for Three Dimensional Field Theories
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• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
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• Factorization of 4d N=1 superconformal index
• One-loop determinants for black holes in 4d gauged supergravity
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• New potentials from Scherk-Schwarz reductions
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Cited by in corpus (40)

• D3-branes wrapped on a spindle
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Rotating multi-charge spindles and their microstates
• Universal 3d Cardy Block and Black Hole Entropy
• D4-branes wrapped on a spindle
• Equivariant localization in supergravity
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Anomalies, Black strings and the charged Cardy formula
• Equivariant localization and holography
• Entropy functions for accelerating black holes
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Black holes with spindles at the horizon
• ABJM at finite $N$ via 4d supergravity
• $SL(3,\mathbb{Z})$ Modularity and New Cardy Limits of the $\mathcal{N}=4$ Superconformal Index
• Branes wrapped on orbifolds and their gravitational blocks
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Gravitational Cardy Limit and AdS Black Hole Entropy
• Equivariant localization for AdS/CFT
• Localization and Attraction
• Microstates of accelerating and supersymmetric AdS${}_4$ black holes from the spindle index
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• Localizing Wrapped M5-branes and Gravitational Blocks
• Localization of the free energy in supergravity
• The dark (BPS) side of thermodynamics in Minkowski${}_4$
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• Factorisation of 3d $\mathcal{N}=4$ Twisted Indices and the Geometry of Vortex Moduli Space
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
• Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes
• Explicit black hole thermodynamics in natural variables
• Expanding on the Cardy-like limit of the superconformal index of 4d $\mathcal{N}=1$ ABCD SCFTs
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Branes wrapped on quadrilaterals
• $\mathcal{I}$-extremization with baryonic charges
• Constant maps in equivariant topological strings and geometric modeling of fluxes
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• ${\text{AdS}}_4$ Holography and the Hilbert Scheme
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes