Kleiss-Kuijf Relations from Momentum Amplituhedron Geometry
High Energy Physics - Theory
2021-07-28 v1
Abstract
In recent years, it has been understood that color-ordered scattering amplitudes can be encoded as logarithmic differential forms on positive geometries. In particular, amplitudes in maximally supersymmetric Yang-Mills theory in spinor helicity space are governed by the momentum amplituhedron. Due to the group-theoretic structure underlying color decompositions, color-ordered amplitudes enjoy various identities which relate different orderings. In this paper, we show how the Kleiss-Kuijf relations arise from the geometry of the momentum amplituhedron. We also show how similar relations can be realised for the kinematic associahedron, which is the positive geometry of bi-adjoint scalar cubic theory.
Keywords
Cite
@article{arxiv.2103.13908,
title = {Kleiss-Kuijf Relations from Momentum Amplituhedron Geometry},
author = {David Damgaard and Livia Ferro and Tomasz Lukowski and Robert Moerman},
journal= {arXiv preprint arXiv:2103.13908},
year = {2021}
}
Comments
44 pages, 19 figures