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

Gang, Dongmin; Huang, Yu-tin; Koh, Eunkyung; Lee, Sangmin; Lipstein, Arthur E.

Abstract

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.

• Journal Article Type: Article
• Publication Date: 2011
• Deposit Date: Feb 22, 2016
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2011
• Issue: 03
• Article Number: 116
• DOI: https://doi.org/10.1007/jhep03%282011%29116
• Public URL: https://durham-repository.worktribe.com/output/1391024
• Publisher URL: http://link.springer.com/article/10.1007%2FJHEP03%282011%29116