Heptagon amplitude in the multi-Regge regime

As we have shown in previous work, the high energy limit of scattering amplitudes in N = 4 supersymmetric Yang-Mills theory at strong coupling corresponds to the infrared limit of the 1-dimensional quantum integrable system that solves minimal area problems in AdS(5). This insight can be developed into a systematic algorithm to compute the strong coupling limit of amplitudes in the multi-Regge regime through the solution of auxiliary Bethe Ansatz equations. We apply this procedure to compute the scattering amplitude for n = 7 external gluons in different multi-Regge regions at infinite 't Hooft coupling. Our formulas are remarkably consistent with the expected form of 7-gluon Regge cut contributions in perturbative gauge theory. A full description of the general algorithm and a derivation of results will be given in a forthcoming paper.