Supersymmetry non-renormalization theorem from a computer and the AdS/CFT correspondence

Abstract

We perform Monte Carlo calculation of correlation functions in 4d N=4 super Yang-Mills theory on R*S^3 in the planar limit. In order to circumvent the well-known problem of lattice SUSY, we adopt the idea of a novel large-N reduction, which reduces the calculation to that of corresponding correlation functions in the plane-wave matrix model or the BMN matrix model. This model is a 1d gauge theory with 16 supersymmetries, which can be simulated in a manner similar to the recent studies of the D0-brane system. We study two-point and three-point functions of chiral primary operators at various coupling constant, and find that they agree with the free theory results up to overall constant factors. The ratio of the overall factors for two-point and three-point functions agrees with the prediction of the AdS/CFT correspondence.

7 pages, 5 figures, talk presented at the XXVIII International Symposium on Lattice Field Theory, June 14-19, 2010, Villasimius, Sardinia Italy

References in corpus (1)

• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills

Cited by in corpus (10)

• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• Perturbative renormalization of lattice N=4 super Yang-Mills theory
• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Twisted supersymmetries in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Phase Structure of Lattice N=4 Super Yang-Mills
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
• The origin of space-time as seen from matrix model simulations