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Black Hole Entropy from Quantum Mechanics
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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 $AdS_{7}\times S^{4}$ 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.
Forward citations
Cited by 2 Pith papers
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Index and localization for type B superconformal mechanics on singular spaces
A localization method for type B superconformal indices on singular spaces is proposed, with a self-adjointness caveat that can make the index ambiguous.
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Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
An explicit conformal mapping is derived between null-reduced R times S^3 and Omega-deformed Minkowski TNC geometries, giving the state-operator generator map H0 = (R^2 H + C/R^2 - J - N)/2 in SU(1,2) non-Lorentzian CFTs.
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