Symbol Alphabets from Plabic Graphs
High Energy Physics - Theory
2020-12-02 v2
Abstract
Symbol alphabets of n-particle amplitudes in N=4 super-Yang-Mills theory are known to contain certain cluster variables of Gr(4,n) as well as certain algebraic functions of cluster variables. In this paper we suggest an algorithm for computing these symbol alphabets from plabic graphs by solving matrix equations of the form C Z = 0 to associate functions on Gr(m,n) to parameterizations of certain cells of Gr(k,n) indexed by plabic graphs. For m=4 and n=8 we show that this association precisely reproduces the 18 algebraic symbol letters of the two-loop NMHV eight-point amplitude from four plabic graphs.
Cite
@article{arxiv.2007.00646,
title = {Symbol Alphabets from Plabic Graphs},
author = {Jorge Mago and Anders Schreiber and Marcus Spradlin and Anastasia Volovich},
journal= {arXiv preprint arXiv:2007.00646},
year = {2020}
}
Comments
19 pages; v2: minor corrections and improvements