Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
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 BCFW recursion relation for mass-deformed theories in three dimensions and discuss the applicability of this proposal to mass-deformed N=2 theories.
Keywords
Cite
@article{arxiv.1302.5288,
title = {Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions},
author = {Abhishek Agarwal and Arthur E. Lipstein and Donovan Young},
journal= {arXiv preprint arXiv:1302.5288},
year = {2014}
}
Comments
33 pages, v2 version to appear in PRD