Work

Symbol alphabets from plabic graphs

Year: 2024

Type: article

Abstract: 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.

Source: OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)

DOI: 10.1007/jhep10%282020%29128

Author: Mago, Jorge [Brown Univ., Providence, RI (United States). Dept. of Physics]; Schreiber, Anders [Brown Univ., Providence, RI (United States). Dept. of Physics]; Spradlin, Marcus [Brown Univ., Providence, RI (United States). Dept. of Physics; Brown Univ., Providence, RI (United States). Brown Theoretical Physics Center]; Volovich, Anastasia [Brown Univ., Providence, RI (United States). Dept. of Physics]

Institution: Brown University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: U.S. Department of Energy

Award: A RESEARCH PROGRAM IN THEORETICAL AND EXPERIMENTAL HIGH ENERGY PHYSICS