Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions

Journal article

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 BCFW recursion relation for mass-deformed theories in three dimensions and discuss the applicability of this proposal to mass-deformed N=2 theories.

Authors: Agarwal, A; Lipstein, A; Young, D

• Journal: Phys. Rev. D
• Volume: 89
• Issue: 4
• Pages: 045020
• Publication date: 2013-02-21
• DOI: 10.1103/PhysRevD.89.045020
• EISSN: 1550-2368
• ISSN: 1550-7998
• Language: English
• Keywords: hep-th