Black Hole Entropy from Quantum Mechanics

Abstract

We provide evidence for a holographic duality between superconformal quantum mechanics on the moduli space of Yang-Mills instantons and M-theory in certain asymptotically $Ad{S}_7\times S^4$ backgrounds with a plane-wave boundary metric. We show that the gravitational background admits a supersymmetric black hole solution whose entropy is precisely reproduced by the superconformal index of the dual quantum mechanics.

References in corpus (5)

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• The Refined Topological Vertex
• Nonrelativistic conformal field theories
• On the spectrum of nonrelativistic AdS/CFT
• Twisted 6d $(2,0)$ SCFTs on a Circle

Cited by in corpus (7)

• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Boundary Description of Microstates of the Two-Dimensional Black Hole
• Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes
• How to Build a Black Hole out of Instantons
• $n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
• Index and localization for type B superconformal mechanics on singular spaces
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory