New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes

TL;DR

This paper explores a duality between color and kinematics in 3D supersymmetric theories, revealing new algebraic structures and connections to supergravity amplitudes.

Contribution

It demonstrates that three-dimensional N=8 amplitudes can be arranged to satisfy three-algebra identities and can be squared into N=16 supergravity amplitudes, indicating a hidden algebraic structure.

Findings

Color-kinematics duality in 3D supersymmetric theories

Six-point amplitude satisfies three-algebra identity

N=8 amplitudes can be squared to N=16 supergravity amplitudes

Abstract

We provide evidence for a duality between color and kinematics in three-dimensional supersymmetric Chern-Simons matter theories. We show that the six-point amplitude in the maximally supersymmetric, N=8, theory can be arranged so that the kinematic factors satisfy the fundamental identity of three-algebras. We further show that the four- and six-point N=8 amplitudes can be "squared" into the amplitudes of N=16 three-dimensional supergravity, thus providing evidence for a hidden three-algebra structure in the dynamics of the supergravity.