Regular Article - Theoretical Physics
Cluster algebras in scattering amplitudes with special 2D kinematics
Institut de Physique Théorique, CEA-Saclay, 91191, Gif-sur-Yvette Cedex, France
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Accepted: 27 January 2014
Published online: 27 February 2014
We study the cluster algebra of the kinematic configuration space of an -particle scattering amplitude restricted to the special 2D kinematics. We found that the -point two-loop MHV remainder function in special 2D kinematics depends on a selection of the -coordinates that are part of a special structure of the cluster algebra related to snake triangulations of polygons. This structure forms a necklace of hypercube beads in the corresponding Stasheff polytope. Furthermore at , the cluster algebra and the selection of the -coordinates in special 2D kinematics replicates the cluster algebra and the selection of -coordinates of the two-loop MHV amplitude in 4D kinematics.
© The Author(s), 2014