Symbol Alphabets from Plabic Graphs II: Rational Letters
High Energy Physics - Theory
2021-09-22 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. The first paper arXiv:2007.00646 in this series focused on n=8 algebraic letters. In this paper we show that it is possible to obtain all rational symbol letters (in fact all cluster variables) by solving matrix equations of the form C Z = 0 if one allows C to be an arbitrary cluster parameterization of the top cell of Gr_+(n-4,n).
Cite
@article{arxiv.2012.15812,
title = {Symbol Alphabets from Plabic Graphs II: Rational Letters},
author = {Jorge Mago and Anders Schreiber and Marcus Spradlin and Akshay Yelleshpur Srikant and Anastasia Volovich},
journal= {arXiv preprint arXiv:2012.15812},
year = {2021}
}
Comments
10 pages, 2 figures; v2: minor typos corrected