Black hole entropy from quantum mechanics. (English) Zbl 07716872
Summary: 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.
MSC:
| 83C57 | Black holes |
| 81T28 | Thermal quantum field theory |
| 81P17 | Quantum entropies |
| 80A10 | Classical and relativistic thermodynamics |
| 83E05 | Geometrodynamics and the holographic principle |
Keywords:
AdS-CFT correspondence; black holes in string theory; solitons monopoles and instantons; M-theoryReferences:
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