Topic: Scattering amplitudes, Feynman integrals and cluster algebras

Speaker: Prof. Song He

Coordinates: PCFT C1124, 16:00, Thursday, Mar. 10

Abstract: I will review some observations based on new computations of multi-loop, multi-leg scattering amplitudes/Wilson loops in planar N=4 SYM, and classes of Feynman integrals to all loops. The symbols of such amplitudes and integrals exhibit remarkable structures related to cluster algebras, extending those observed in the hexagon/heptagon bootstrap. The symbol alphabets for all such cases are either finite-type cluster algebras or truncated version of infinite types, and they respect the so-called extended Steinmann relations (or cluster adjacency). These conjectural all-loop structures may provide insights into properties of amplitudes and integrals in general QFT.