Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature

TL;DR

This paper presents pioneering Monte Carlo simulations of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature, providing evidence for gauge/gravity duality through energy and Polyakov line analysis.

Contribution

First non-lattice Monte Carlo study of this supersymmetric system, successfully including fermionic effects and bridging weak and strong coupling regimes.

Findings

Internal energy matches both high and low temperature predictions.

Polyakov line remains large at low temperature, indicating no phase transition.

Results support gauge/gravity duality in supersymmetric quantum mechanics.

Abstract

We present the first Monte Carlo results for supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature. The recently proposed non-lattice simulation enables us to include the effects of fermionic matrices in a transparent and reliable manner. The internal energy nicely interpolates the weak coupling behavior obtained by the high temperature expansion, and the strong coupling behavior predicted from the dual black hole geometry. The Polyakov line takes large values even at low temperature suggesting the absence of a phase transition in sharp contrast to the bosonic case. These results provide highly non-trivial evidences for the gauge/gravity duality.