Symbol Alphabets from Tensor Diagrams in Yang-Mills Theory

Watch a 23-minute conference talk from the Amplituhedra, Cluster Algebras, and Positive Geometry Conference where Brown University researcher explores the connection between symbol alphabets of n-particle amplitudes in planar N=4 Yang-Mills theory and polytopes associated with the Grassmannian Gr(4,n). Learn how to assign webs (planar tensor diagrams) to polytope facets, understand the relationship between loop-free webs and cluster variables, and discover how web series evaluations reveal information about algebraic symbol letters. Examine the findings for n≤8 cases and discover how the polytope C(4,9) encodes rational letters and square roots of algebraic letters in nine-particle amplitudes.