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.
Dokumententyp: | Zeitschriftenartikel |
---|---|
Fakultät: | Physik |
Themengebiete: | 500 Naturwissenschaften und Mathematik > 530 Physik |
ISSN: | 1029-8479 |
Sprache: | Englisch |
Dokumenten ID: | 97603 |
Datum der Veröffentlichung auf Open Access LMU: | 05. Jun. 2023, 15:26 |
Letzte Änderungen: | 05. Jun. 2023, 15:26 |