Numerical tests of AdS/CFT at strong coupling
High Energy Physics - Theory
2008-12-18 v2
Abstract
We study various correlation functions (two and three point functions) in a large 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.
Cite
@article{arxiv.0801.2739,
title = {Numerical tests of AdS/CFT at strong coupling},
author = {David Berenstein and Randel Cotta and Rodrigo Leonardi},
journal= {arXiv preprint arXiv:0801.2739},
year = {2008}
}
Comments
23 pages, 7 figures, revtex. v2: minor corrections