Work

Numerical tests of AdS/CFT at strong coupling

Year: 2008

Type: article

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 nongaussianities in the thermal fluctuations. This is a simplified model of the low-energy dynamics of $\mathcal{N}=4\text{ }\text{ }\mathrm{SYM}$ 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.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.78.025008

Authors: David Berenstein, Randel Cotta, Rodrigo Leonardi

Institutions: University of California, Santa Barbara, Isaac Newton Institute for Mathematical Sciences, Stanford University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2077487481

FWCI: 2.145

Cites: 30

Cited by: 22

Related to: 10