Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory

TL;DR

This paper derives symmetry constraints on tree-level scattering amplitudes in N=6 superconformal Chern-Simons theory, solves for specific amplitudes, and demonstrates their invariance under Yangian symmetry, indicating integrability in the theory.

Contribution

It introduces the explicit form of symmetry constraints and solutions for four- and six-point superamplitudes, revealing their Yangian invariance and integrability.

Findings

Superamplitudes satisfy osp(6|4) symmetry constraints

Explicit four- and six-point superamplitudes are derived

Superamplitudes are invariant under Yangian symmetry

Abstract

Constraints of the osp(6|4) symmetry on tree-level scattering amplitudes in N=6 superconformal Chern-Simons theory are derived. Supplemented by Feynman diagram calculations, solutions to these constraints, namely the four- and six-point superamplitudes, are presented and shown to be invariant under Yangian symmetry. This introduces integrability into the amplitude sector of the theory.