Abstract

Symbol alphabets of n-particle amplitudes in N = 4 super-Yang-Mills theory are known to contain certain cluster variables of G(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 G+(n−4, n).

Details

Title
Symbol alphabets from plabic graphs II: rational letters
Author
Mago, J 1 ; Schreiber, A 1 ; Spradlin, M 2 ; Yelleshpur, Srikant A 1 ; Volovich, A 1 

1  Brown University, Department of Physics, Providence, USA (GRID:grid.40263.33) (ISNI:0000 0004 1936 9094) 
2  Brown University, Department of Physics, Providence, USA (GRID:grid.40263.33) (ISNI:0000 0004 1936 9094); Brown University, Brown Theoretical Physics Center, Providence, USA (GRID:grid.40263.33) (ISNI:0000 0004 1936 9094) 
Publication year
2021
Publication date
Apr 2021
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP04(2021)056
ProQuest document ID
2509430782
Copyright
© The Author(s) 2021. This work is published under CC-BY 4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.