Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory

Journal article

We propose a recursion relation for tree-level scattering amplitudes in three-dimensional Chern-Simons-matter theories. The recursion relation involves a complex deformation of momenta which generalizes the BCFW-deformation used in higher dimensions. Using background field methods, we show that all tree-level superamplitudes of the ABJM theory vanish for large deformations, establishing the validity of the recursion formula. Furthermore, we use the recursion relation to compute six-point and eight-point component amplitudes and match them with independent computations based on Feynman diagrams or the Grassmannian integral formula. As an application of the recursion relation, we prove that all tree-level amplitudes of the ABJM theory have dual superconformal symmetry. Using generalized unitarity methods, we extend this symmetry to the cut-constructible parts of the loop amplitudes.

Authors: Gang, D; Huang, Y; Koh, E; Lee, S; Lipstein, A

• Journal: JHEP
• Volume: 1103
• Issue: 3
• Pages: 116
• Publication date: 2010-12-22
• DOI: 10.1007/JHEP03(2011)116
• EISSN: 1029-8479
• Keywords: hep-th