Georgios Papathanasiou (DESY): All-order amplitudes at any multiplicity in the multi-Regge limit

Maximally supersymmetric Yang-Mills theory serves as a unique theoretical laboratory connecting beautiful mathematics to realistic applications. In this talk I present a complete perturbative solution for the planar scattering amplitudes of the theory at any loop order and multiplicity, in certain region of the conceptually important multi-Regge limit. I describe how the expected integrability of the theory, and analytic structure of amplitudes in the limit, are key for arriving at this solution. Finally, I sketch a proof of the maximal transcendentality principle as an application.

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