Dual Superconformal Symmetry of N=6 Chern-Simons Theory

TL;DR

This paper proves that four and six-point tree-level amplitudes in N=6 superconformal Chern-Simons theory exhibit dual superconformal symmetry when an extended dual superspace is used, linking it to Yangian symmetry and discussing loop-level implications.

Contribution

It demonstrates dual superconformal symmetry in ABJM theory with an extended superspace, connecting it to Yangian symmetry and exploring loop-level consequences.

Findings

Dual superconformal symmetry holds for four and six-point amplitudes.

Extended superspace includes three additional Grassmann-even coordinates.

Implications for loop-level amplitudes are discussed.

Abstract

We demonstrate that the four and six-point tree-level amplitudes of N=6 superconformal Chern-Simons theory (ABJM) enjoy OSp(6|4) dual superconformal symmetry if one enlarges the dual superspace to include three additional Grassmann-even coordinates which correspond to an abelian isometry of CP3. The inclusion of these coordinates enables us to match the nontrivial dual superconformal generators with level-one Yangian generators when acting on on-shell amplitudes. We also discuss some implications of dual conformal symmetry for loop-level amplitudes.