Published July 15, 2008 | Version v1
Journal article

Numerical tests of AdS/CFT at strong coupling

  • 1. Isaac Newton Institute for Mathematical Sciences, Cambridge CB3 OEH (United Kingdom)
  • 2. Department of Physics, University of California at Santa Barbara, California 93106 (United States)
  • 3. Department of Physics, Stanford University, Stanford, California 94305 (United States)

Description

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 nongaussianities 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.

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
78
Journal Issue
2
Journal Page Range
p. 025008-025008.10
ISSN
0556-2821
CODEN
PRVDAQ

Optional Information

Notes
(c) 2008 The American Physical Society