Kleiss-Kuijf relations from momentum amplituhedron geometry
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Publication:1981494
DOI10.1007/JHEP07(2021)111zbMATH Open1468.81118arXiv2103.13908OpenAlexW3209874196MaRDI QIDQ1981494
Author name not available (Why is that?)
Publication date: 3 September 2021
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2103.13908
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