String Theory seminar - Georgios Papathanasiou Seminar

N=4 super Yang-Mills theory stands out as an interacting 4-dimensional gauge theory which may be exactly solvable in the planar limit. In this talk, I report on recent progress in exploiting the symmetry and integrability of the theory, for the computation of its scattering amplitudes. For the 6-particle MHV amplitude, integrability leads to explicit expressions up to 5 loops in near-collinear kinematics, from which we may also produce all logarithmic terms in the multi-Regge limit; and for 7 particles, the symmetry of the kinematic space, supplemented by a limited set of reasonable assumptions, uniquely fix the symbol of the amplitude in general kinematics up to 3 loops.