Direct evidence for the maldacena conjecture for N = (8, 8) super-Yang-Mills theory in 1 + 1 dimensions

Abstract We solve N = ( 8 , 8 ) super-Yang–Mills theory in 1 + 1 dimensions at strong coupling to directly confirm the predictions of supergravity at weak coupling. We do our calculations in the large- N c approximation using Supersymmetric Discrete Light-Cone Quantization with up to 3 × 10 12 basis states. We calculate the stress-energy correlator 〈 T + + ( r ) T + + ( 0 ) 〉 as a function of the separation r and find that at intermediate values of r the correlator behaves as r −5 to within errors as predicted by weak-coupling supergravity. We also present an extension to significantly higher resolution of our earlier results for the same correlator in the N = ( 2 , 2 ) theory and see that in this theory the correlator has very different behavior at intermediate values of r .