Scattering amplitudes of massive N=2 gauge theories in three dimensions.

Agarwal, Abhishek; Lipstein, Arthur E.; Young, Donovan

Abstract

We study the scattering amplitudes of mass-deformed Chern-Simons theories and Yang-Mills-Chern-Simons theories with N=2 supersymmetry in three dimensions. In particular, we derive the on-shell supersymmetry algebras which underlie the scattering matrices of these theories. We then compute various 3 and 4-point on-shell tree-level amplitudes in these theories. For the mass-deformed Chern-Simons theory, odd-point amplitudes vanish and we find that all of the 4-point amplitudes can be encoded elegantly in superamplitudes. For the Yang-Mills-Chern-Simons theory, we obtain all of the 4-point tree-level amplitudes using a combination of perturbative techniques and algebraic constraints and we comment on difficulties related to computing amplitudes with external gauge fields using Feynman diagrams. Finally, we propose a Britto-Cachazo-Feng-Witten recursion relation for mass-deformed theories in three dimensions and discuss the applicability of this proposal to mass-deformed N=2 theories.

Citation

Agarwal, A., Lipstein, A. E., & Young, D. (2014). Scattering amplitudes of massive N=2 gauge theories in three dimensions. Physical Review D, 89(4), Article 045020. https://doi.org/10.1103/physrevd.89.045020

• Journal Article Type: Article
• Online Publication Date: Feb 28, 2014
• Publication Date: 2014-02
• Deposit Date: Feb 22, 2016
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 89
• Issue: 4
• Article Number: 045020
• DOI: https://doi.org/10.1103/physrevd.89.045020