A Note on One-loop Cluster Adjacency in N = 4 SYM
High Energy Physics - Theory
2021-02-03 v2
Abstract
We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory. We show that the n-point one-loop NMHV ratio function satisfies Steinmann cluster adjacency. We also show that the one-loop BDS-like normalized NMHV amplitude satisfies cluster adjacency between Yangian invariants and final symbol entries up to 9-points. We present conjectures for cluster adjacency properties of Pl\"ucker coordinates, quadratic cluster variables, and NMHV Yangian invariants that generalize the notion of weak separation.
Cite
@article{arxiv.2005.07177,
title = {A Note on One-loop Cluster Adjacency in N = 4 SYM},
author = {Jorge Mago and Anders Schreiber and Marcus Spradlin and Anastasia Volovich},
journal= {arXiv preprint arXiv:2005.07177},
year = {2021}
}
Comments
14 pages, 2 figures; v2: minor typos corrected