Black Hole Entropy from Quantum Mechanics

TL;DR

This paper demonstrates a holographic duality linking superconformal quantum mechanics to M-theory backgrounds, with black hole entropy matching the quantum mechanical index, advancing understanding of quantum gravity and holography.

Contribution

It establishes a new duality between superconformal quantum mechanics and M-theory in specific backgrounds, with exact entropy correspondence.

Findings

Black hole solutions with matching entropy

Superconformal index reproduces black hole entropy

Evidence for holographic duality in this setting

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.