Putting M theory on a computer

TL;DR

This paper introduces a non-lattice Monte Carlo simulation method for supersymmetric matrix quantum mechanics, enabling the study of M theory and providing evidence for its duality with D0-brane supergravity solutions.

Contribution

It presents a novel non-perturbative simulation approach for M theory matrix models, supporting the gauge/gravity duality with numerical evidence.

Findings

Reproduced black hole energy and entropy from D0-brane dynamics.

Provided nontrivial evidence for M theory and supergravity duality.

Demonstrated the effectiveness of Monte Carlo methods in strongly coupled regimes.

Abstract

We propose a non-lattice simulation for studying supersymmetric matrix quantum mechanics in a non-perturbative manner. In particular, our method enables us to put M theory on a computer based on its matrix formulation proposed by Banks, Fischler, Shenker and Susskind. Here we present Monte Carlo results of the same matrix model but in a different parameter region, which corresponds to the 't Hooft large-N limit at finite temperature. In the strong coupling limit the model has a dual description in terms of the N D0-brane solution in 10d type IIA supergravity. Our results provide highly nontrivial evidences for the conjectured duality. In particular, the energy (and hence the entropy) of the non-extremal black hole has been reproduced by solving directly the strongly coupled dynamics of the D0-brane effective theory.