TY - JOUR
T1 - Kleiss-Kuijf relations from momentum amplituhedron geometry
AU - Damgaard, David
AU - Ferro, Livia
AU - Lukowski, Tomasz
AU - Moerman, Robert
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/7/16
Y1 - 2021/7/16
N2 - 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.
AB - 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.
KW - Regular Article - Theoretical Physics
KW - Scattering Amplitudes
KW - Supersymmetric Gauge Theory
UR - http://www.scopus.com/inward/record.url?scp=85110544735&partnerID=8YFLogxK
U2 - 10.1007/JHEP07(2021)111
DO - 10.1007/JHEP07(2021)111
M3 - Article
SN - 1126-6708
VL - 2021
JO - Journal of High Energy Physics (JHEP)
JF - Journal of High Energy Physics (JHEP)
IS - 7
M1 - 111
ER -