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

Understand

We test the AdS/CFT correspondence by calculating Wilson loops in N = 4 super Yang-Mills theory on R*S^3 in the planar limit.

• Our method is based on a novel large-N reduction, which reduces the problem to Monte Carlo calculations in the plane-wave matrix model or the BMN matrix model, which is a 1d gauge theory with 16 supercharges.
• By using the gauge-fixed momentumspace simulation, we obtain results respecting 16 supersymmetries.
• We report on the Monte Carlo results for the BPS circular Wilson loop, which reproduce the exact result up to strong coupling.