Direct evidence for the Maldacena conjecture for ${\cal N}=(8,8)$ super Yang-Mills theory in 1+1 dimensions

We solve ${\cal N}=(8,8)$ 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 $3\times10^{12}$ basis states. We calculate the stress-energy correlator $\langle T^{++}(r) T^{++}(0)\rangle$ 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 ${\cal N}=(2,2)$ theory and see that in this theory the correlator has very different behavior at intermediate values of $r$.