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arXiv · 0801.2739

Numerical tests of AdS/CFT at strong coupling

David Berenstein·Randel Cotta·Rodrigo Leonardi
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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.

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David Berenstein, Randel Cotta, Rodrigo Leonardi. 2008-04-02. Numerical tests of AdS/CFT at strong coupling. https://doi.org/10.1103/physrevd.78.025008

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