Dual Superconformal Symmetry of N=6 Chern-Simons Theory

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.

32 pages; v3: minor changes, published in JHEP

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• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• One Loop Amplitudes In ABJM
• On AdS_4 x CP^3 T-duality
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• The orthogonal momentum amplituhedron and ABJM amplitudes
• All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Integrated negative geometries in ABJM
• Real fermionic symmetry in type II supergravity
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• The two-loop eight-point amplitude in ABJM theory
• $\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• Wilson loops in N=6 superspace for ABJM theory
• Yangian Symmetry in Five Dimensions
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle