AdS${}_7$ Black-Hole Entropy and 5D $\mathcal{N}=2$ Yang-Mills

Abstract

We generalise the work of 1810.11442 for the case of AdS${}_7$/CFT${}_6$. Starting from the 2-equivalent charge, 3-equivalent rotation non-extremal black-hole solution in 7D gauged supergravity, we consider the supersymmetric and then the extremal limit and evaluate the associated thermodynamic quantities. Away from extremality, the black-hole solution becomes complex. The entropy is then given by the Legendre transform of the on-shell action with respect to two complex chemical potentials subject to a constraint. At the conformal boundary we derive the dual background and evaluate the corresponding partition function for the $A_{N-1}$ 6D (2,0) theory at large $N$ in a Cardy-like limit. This is carried out via a 5D $\mathcal{N}=2$ super Yang-Mills calculation on $S^5$. The gravitational on-shell action is found to be exactly reproduced by the boundary partition function at large $N$. We argue that this agreement puts strong constraints on the form of possible higher-derivative corrections to the 5D gauge theory that is used in the $S^5$ evaluation.

arXiv comment35 pages; v2 field-theory discussion modified, appendix added and typos corrected; v3 published version

References in corpus (36)

• An Index for 4 dimensional Super Conformal Theories
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS${}_5$ black holes
• A topologically twisted index for three-dimensional supersymmetric theories
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• M5-branes from gauge theories on the 5-sphere
• W Symmetry in six dimensions
• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• Entropy Function and AdS(2)/CFT(1) Correspondence
• $N^3$-behavior from 5D Yang-Mills theory
• The asymptotic growth of states of the 4d N=1 superconformal index
• The BPS limit of rotating AdS black hole thermodynamics
• Perturbative partition function for a squashed S^5
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Topologically twisted indices in five dimensions and holography
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• The Superconformal Index of the (2,0) Theory with Defects
• A note on the entropy of rotating BPS AdS${}_7\times S^4$ black holes
• Loops in exceptional field theory
• Comments on the Casimir energy in supersymmetric field theories
• Non-extremal Charged Rotating Black Holes in Seven-Dimensional Gauged Supergravity
• Equal charge black holes and seven dimensional gauged supergravity
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere
• The gravity dual of supersymmetric gauge theories on a squashed $S^1\times S^3$
• Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index
• Integral invariants in maximally supersymmetric Yang-Mills theories
• Chern-Simons theory from M5-branes and calibrated M2-branes
• Revisiting Soliton Contributions to Perturbative Amplitudes
• Cancellation of divergences up to three loops in exceptional field theory
• Supersymmetric solutions to Euclidean Romans supergravity

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• Lectures on AdS Black Holes, Holography and Localization
• EFT and the SUSY Index on the 2nd Sheet
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Supersymmetric phases of 4d N=4 SYM at large N
• A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index
• AdS black holes and finite N indices
• Sub-leading Structures in Superconformal Indices: Subdominant Saddles and Logarithmic Contributions
• Words to describe a black hole
• Rotating Black Hole Entropy from M5-branes
• Gravitational Cardy Limit and AdS Black Hole Entropy
• Superconformal index of low-rank gauge theories via the Bethe Ansatz
• Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS${}_5$
• Non-topological logarithmic corrections in minimal gauged supergravity
• Quantum Phases of $4d$ $SU(N)$ $\mathcal{N}=4$ SYM
• Toward an Effective CFT${}_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes
• Cardy Limits of 6d Superconformal Theories
• Anomaly Matching Across Dimensions and Supersymmetric Cardy Formulae
• Quantum entropy of BMPV black holes and the topological M-theory conjecture
• How to Build a Black Hole out of Instantons
• Thermodynamics of Near BPS Black Holes in AdS${}_4$ and AdS${}_7$
• Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT${}_2$ and Viscosity
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes