Details

Autor(en) / Beteiligte

• Mago, Jorge
• Schreiber, Anders
• Spradlin, Marcus
• Volovich, Anastasia

Titel

Symbol alphabets from plabic graphs

Ist Teil von

• The journal of high energy physics, 2020-10, Vol.2020 (10), p.1-17, Article 128

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2020

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• A bstract 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-particle amplitude from four plabic graphs.