Numerical approach to SUSY quantum mechanics and the gauge/gravity duality

TL;DR

This paper demonstrates that Monte-Carlo simulations effectively explore nonperturbative supersymmetric quantum mechanics, specifically D0-brane models, confirming predictions from gravity duals and extending understanding beyond supergravity approximations.

Contribution

It shows that Monte-Carlo methods can be used to study nonperturbative aspects of supersymmetric quantum mechanics and provides concrete numerical evidence supporting gauge/gravity duality.

Findings

Numerical data matches gravity predictions including alpha' corrections.

Duality holds beyond supergravity approximation.

Monte-Carlo simulations yield concrete stringy correction values.

Abstract

We demonstrate that Monte-Carlo simulation is a practical tool to study nonperturbative aspects of supersymmetric quantum mechanics. As an example we study D0-brane quantum mechanics in the context of superstring theory. Numerical data nicely reproduce predictions from gravity side, including the coupling constant dependence of the string alpha' correction. This strongly suggests the duality to hold beyond the supergravity approximation. Although detail of the stringy correction cannot be obtained by state-of-the-art techniques in gravity side, in the matrix quantum mechanics we can obtain concrete values. Therefore the Monte-Carlo simulation combined with the duality provides a powerful tool to study the superstring theory.