Direct evidence for the Maldacena conjecture for N=(8,8) super Yang-Mills theory in 1+1 dimensions

TL;DR

This paper provides direct evidence supporting the Maldacena conjecture by solving N=(8,8) super Yang-Mills theory in 1+1 dimensions at strong coupling and comparing the stress-energy correlator to supergravity predictions.

Contribution

It is the first to solve the strongly coupled N=(8,8) super Yang-Mills theory in 1+1 dimensions and confirm the supergravity prediction for the stress-energy correlator behavior.

Findings

Correlator behaves as r^{-5} at intermediate r, matching supergravity predictions.

Extended resolution results for N=(2,2) theory show different correlator behavior.

Supports the Maldacena conjecture through direct computational evidence.

Abstract

We solve N=(8,8) super Yang-Mills theory in 1+1 dimensions at strong coupling to directly confirm the predictions of supergravity at weak coupling. We do our calculations in the large-N_c approximation using Supersymmetric Discrete Light-Cone Quantization with up to 3*10^{12} basis states. We calculate the stress-energy correlator <T^{++}(r) T^{++}(0)> as a function of the separation r and find that at intermediate values of r the correlator behaves as r^{-5} to within errors as predicted by weak-coupling supergravity. We also present an extension to significantly higher resolution of our earlier results for the same correlator in the N=(2,2) theory and see that in this theory the correlator has very different behavior at intermediate values of r.