Symbol Alphabets from Plabic Graphs II: Rational Letters

Autor: Mago, Jorge, Schreiber, Anders, Spradlin, Marcus, Srikant, Akshay Yelleshpur, Volovich, Anastasia
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP04(2021)056
Popis: 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).
Comment: 10 pages, 2 figures; v2: minor typos corrected
Databáze: arXiv