Numerical tests of AdS/CFT at strong coupling

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.

23 pages, 7 figures, revtex. v2: minor corrections

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Cited by in corpus (12)

• Dissecting the string theory dual of QCD
• Multi-matrix models and emergent geometry
• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Large N classical dynamics of holographic matrix models
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
• A strong coupling expansion for N=4 SYM theory and other SCFT's
• The origin of space-time as seen from matrix model simulations
• The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation
• Eigenvalue Dynamics for Multimatrix Models
• Shaping up BPS States with Matrix Model Saddle Points