论文标题

符号字母来自Plabic Graphs II:理性字母

Symbol Alphabets from Plabic Graphs II: Rational Letters

论文作者

Mago, Jorge, Schreiber, Anders, Spradlin, Marcus, Srikant, Akshay Yelleshpur, Volovich, Anastasia

论文摘要

已知N = 4个超阳米尔斯理论中N颗粒振幅的符号字母包含GR(4,N)的某些群集变量以及群集变量的某些代数函数。本系列中的第一篇论文:2007.00646侧重于n = 8个代数字母。在本文中,我们表明,如果允许C是GR _+(n-4,n)的顶部单元格的任意群集参数化,则可以通过求解c z = 0的矩阵方程来获得所有有理符号字母(实际上所有群集变量)。

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).

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