Direct test of the AdS/CFT correspondence by Monte Carlo studies of super YangMills theory
Abstract
We perform nonperturbative studies of super YangMills theory by Monte Carlo simulation. In particular, we calculate the correlation functions of chiral primary operators to test the AdS/CFT correspondence. Our results agree with the predictions obtained from the AdS side that the SUSY nonrenormalization property is obeyed by the threepoint functions but not by the fourpoint functions investigated in this paper. Instead of the lattice regularization, we use a novel regularization of the theory based on an equivalence in the large N limit between the SU( N) theory on R × S ^{3} and a onedimensional SU( N) gauge theory known as the planewave (BMN) matrix model. The equivalence extends the idea of large N reduction to a curved space and, at the same time, overcomes the obstacle related to the center symmetry breaking. The adopted regularization for S ^{3} preserves 16 SUSY, which is crucial in testing the AdS/CFT correspondence with the available computer resources. The only SUSY breaking effects, which come from the momentum cutoff Λ in R direction, are made negligible by using sufficiently large Λ.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2013
 DOI:
 10.1007/JHEP11(2013)200
 arXiv:
 arXiv:1308.3525
 Bibcode:
 2013JHEP...11..200H
 Keywords:

 AdSCFT Correspondence;
 Supersymmetric gauge theory;
 Matrix Models;
 High Energy Physics  Theory;
 High Energy Physics  Lattice
 EPrint:
 v1) 39 pages, 12 figures