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arXiv · 1302.5288

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

Abhishek Agarwal·Arthur E. Lipstein·Donovan Young
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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.

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Abhishek Agarwal, Arthur E. Lipstein, Donovan Young. 2014-02-14. Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions. https://doi.org/10.1103/physrevd.89.045020

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