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We test the AdS/CFT correspondence by calculating Wilson loops in N = 4 superYang-Mills theory on R*S^3 in the planar limit. Our method is based on a novellarge-N reduction, which reduces the problem to Monte Carlo calculations in theplane-wave matrix model or the BMN matrix model, which is a 1d gauge theorywith 16 supercharges. By using the gauge-fixed momentumspace simulation, weobtain results respecting 16 supersymmetries. We report on the Monte Carloresults for the BPS circular Wilson loop, which reproduce the exact result upto strong coupling. As a future prospect, we calculate a track-shapedWilsonloop from the gravity side, which shows that a clear test of the AdS/CFT forthe non-BPS case is also feasible.

Testing the AdS/CFT correspondence by Monte Carlo calculation of BPS and non-BPS Wilson loops in 4d N=4 super-Yang-Mills theory