论文标题
来自Plabic图的符号字母
Symbol Alphabets from Plabic Graphs
论文作者
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。在本文中，我们建议一种通过求解C Z = 0的矩阵方程来计算这些符号字母的算法，以将GR（M，N）上的函数与GR（K，N）的某些单元格（K，N）的参数化相关联。对于M = 4和N = 8，我们表明该关联精确地重现了来自四个Plabic图的两环NMHV八点振幅的18个代数符号字母。
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.
