I will overview the relation of cluster algebras to the analytic properties of scattering amplitudes. In particular, I will describe a restricted class of polylogarithms defined by the cluster algrebraic principles that scattering amplitudes appear to follow. The knowledge of such spaces eliminates unphysical functions in the calculation of scattering amplitudes and improves our understanding of their mathematical properties.
University of Southampton
Tuesday, January 15, 2019 - 12:30
Seminar room (46/5081)
Cluster algebras and the analytic properties of scattering amplitudes