Monte Carlo studies of Matrix theory correlation functions

TL;DR

This paper uses Monte Carlo simulations to study correlation functions in a supersymmetric gauge theory related to D0-branes, confirming power-law behaviors predicted by gauge-gravity duality and extending the agreement to M-theory regimes.

Contribution

First Monte Carlo evaluation of correlation functions in (0+1)D maximally supersymmetric U(N) gauge theory confirming gauge-gravity duality predictions.

Findings

Observed power-law behaviors at N=3

Confirmed predicted exponents for correlation functions

Results suggest duality extends to M-theory regimes

Abstract

We study correlation functions in (0+1)-dimensional maximally supersymmetric U(N) gauge theory, which represents the low-energy effective theory of D0-branes. In the large-N limit, the gauge-gravity duality predicts power-law behaviors in the infrared region for the two-point correlation functions of operators corresponding to supergravity modes. We evaluate such correlation functions on the gauge theory side by the Monte Carlo method. Clear power-law behaviors are observed at N=3, and the predicted exponents are confirmed consistently. Our results suggest that the agreement extends to the M-theory regime, where the supergravity analysis in 10 dimensions may not be justified a priori.