Numerical tests of AdS/CFT at strong coupling

TL;DR

This paper uses numerical Monte Carlo simulations of a simplified matrix model to investigate correlation functions, providing evidence that it aligns with the dual gravitational description in AdS/CFT at strong coupling.

Contribution

It demonstrates that a simplified six-matrix model can reproduce key features of AdS/CFT correlation functions at strong coupling.

Findings

Strong agreement between the matrix model and gravitational dual predictions.

Numerical evidence supporting the AdS/CFT correspondence at strong coupling.

Validation of a simplified model for complex gauge/gravity duality calculations.

Abstract

We study various correlation functions (two and three point functions) in a large $N$ matrix model of six commuting matrices with a numerical Monte Carlo algorithm. This is equivalent to a model of a gas of particles in six dimensions with a confining quadratic potential and logarithmic repulsions at finite temperature, where we are measuring the leading order non-gaussianities in the thermal fluctuations. This is a simplified model of the low energy dynamics of N=4 SYM at strong coupling. We find strong evidence that the simplified matrix model matches with the dual gravitational description of three point functions in the AdS/CFT correspondence.