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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
Link zum Volltext
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.