Supersymmetry non-renormalization theorem from a computer and the AdS-CFT correspondence - High Energy Physics - LatticeReport as inadecuate




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



Author: Masazumi Honda, Goro Ishiki, Sang-Woo Kim, Jun Nishimura, Asato Tsuchiya

Source: https://arxiv.org/







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