Large AdS black holes from QFT

Abstract

We study the index of $\mathcal{N}=4$ Yang-Mills theory on $S^3\times \mathbb{R}$ at large angular momenta. A generalized Cardy limit exhibits macroscopic entropy at large $N$. Our result is derived using free QFT analysis, and also a background field method on $S^3$. The index sets a lower bound on the entropy. It saturates the Bekenstein-Hawking entropy of known supersymmetric AdS${}_5$ black holes, thus accounting for their microstates. We further analyze the so-called Macdonald index, exploring small black holes and possibly new black holes reminiscent of hairy black holes. Finally, we study aspects of large supersymmetric AdS${}_7$ black holes, using background field method on $S^5$ and 't Hooft anomalies.

55 pages, 7 figures; v2, v3: minor correction

References in corpus (15)

• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS${}_5$ black holes
• Cardy Formulae for SUSY Theories in d=4 and d=6
• Localization on Hopf surfaces
• Exact microstate counting for dyonic black holes in AdS4
• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• On S-duality of 5d super Yang-Mills on S^1
• Small Hairy Black Holes in $Ad{S}_5\times S^5$
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Supersymmetric Casimir Energy and the Anomaly Polynomial
• The exact Schur index of $\mathcal{N}=4$ SYM
• High-Temperature Expansion of Supersymmetric Partition Functions
• Equal charge black holes and seven dimensional gauged supergravity
• Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM
• Evidence for the existence of a novel class of supersymmetric black holes with AdS${}_5\times$S${}^5$ asymptotics

Cited by in corpus (37)

• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS${}_5$ black holes
• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• The BPS limit of rotating AdS black hole thermodynamics
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• EFT and the SUSY Index on the 2nd Sheet
• Gluing gravitational blocks for AdS black holes
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Asymptotic growth of the 4d $\mathcal{N}=4$ index and partially deconfined phases
• AdS black holes and finite N indices
• A Bethe Ansatz type formula for the superconformal index
• Delayed Deconfinement and the Hawking-Page Transition
• Entropy function from toric geometry
• Phases of Holographic Interfaces
• Quantum vortices, M2-branes and black holes
• Superconformal index of low-rank gauge theories via the Bethe Ansatz
• Comments on deconfinement in AdS/CFT
• Decomposition of BPS Moduli Spaces and Asymptotics of Supersymmetric Partition Functions
• Exact QFT duals of AdS black holes
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• Microscopic Entropy of AdS${}_3$ Black Holes Revisited
• Supersymmetric localization of refined chiral multiplets on topologically twisted $H^2\times S^1$
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• The growth of the $\frac{1}{16}$-BPS index in 4d $\mathcal{N}=4$ SYM
• From multi-gravitons to Black holes: The role of complex saddles
• Large AdS${}_6$ black holes from CFT${}_5$
• The large-$N$ limit of 4d superconformal indices for general BPS charges
• The superconformal index of $\mathcal{N}=4$ $USp(2N_c)$ and $SO(N_c)$ SYM as a matrix integral
• Uplifting dyonic AdS${}_4$ black holes on seven-dimensional Sasaki-Einstein manifolds
• The Yang-Mills duals of small AdS black holes
• Expanding on the Cardy-like limit of the superconformal index of 4d $\mathcal{N}=1$ ABCD SCFTs
• The large-N partition function for non-parity-invariant Chern-Simons-matter theories
• Thermodynamics of Near BPS Black Holes in AdS${}_4$ and AdS${}_7$
• Finite-$N$ superconformal index via the AdS/CFT correspondence
• The Giant Graviton Expansion
• Proving the 6d Cardy Formula and Matching Global Gravitational Anomalies
• Symmetry structure of the interactions in near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT${}_2$ and Viscosity