Numerical evidence for the Maldacena conjecture in two-dimensional N=(8,8) super Yang-Mills theory

TL;DR

This paper provides numerical evidence supporting the Maldacena conjecture by solving 2D N=(8,8) super Yang-Mills theory at strong coupling and confirming supergravity predictions through stress-energy correlator calculations.

Contribution

It offers the first non-perturbative numerical verification of the Maldacena conjecture in two-dimensional super Yang-Mills theory using Supersymmetric Discrete Light-Cone Quantization.

Findings

Correlator behavior matches 1/r^5 prediction at intermediate distances.

Numerical methods successfully probe strong coupling regime.

Supports the duality between supergravity and gauge theory.

Abstract

The N=(8,8) super Yang-Mills theory in 1+1 dimensions is solved at strong coupling to directly confirm the predictions of supergravity at weak coupling. The calculations are done in the large-N_c approximation using Supersymmetric Discrete Light-Cone Quantization. The stress-energy correlator is obtained as a function of the separation r; for intermediate values of r, the correlator behaves in a manner consistent with the 1/r^5 behavior predicted by weak-coupling supergravity.