Weekly seminars

Cluster algebras, integrability and scattering amplitudes

by Georgios Papathanasiou (DESY Hamburg)

Auditorium (LAPTh)



9 chemin de Bellevue 74940 Annecy

Maximally supersymmetric 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 towards determining the S-matrix of the theory, thanks to the rich interplay between its perturbative analytic properties in general kinematics, and its integrable structure in special kinematics. The former is related to cluster algebras, and allows for the determination of 6- and 7-particle amplitudes up to 6 loops, whereas the latter yields all amplitudes in the multi-Regge limit at finite coupling.

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