Abstract
We study the most general renormalizable \( \mathcal{N}=1 \) U(N ) Chern-Simons gauge theory coupled to a single (generically massive) fundamental matter multiplet. At leading order in the ‘t Hooft large N limit we present computations and conjectures for the 2 × 2 S matrix in these theories; our results apply at all orders in the ‘t Hooft coupling and the matter self interaction. Our S matrices are in perfect agreement with the recently conjectured strong weak coupling self duality of this class of theories. The consistency of our results with unitarity requires a modification of the usual rules of crossing symmetry in precisely the manner anticipated in arXiv:1404.6373, lending substantial support to the conjectures of that paper. In a certain range of coupling constants our S matrices have a pole whose mass vanishes on a self dual codimension one surface in the space of couplings.
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Inbasekar, K., Jain, S., Mazumdar, S. et al. Unitarity, crossing symmetry and duality in the scattering of \( \mathcal{N}=1 \) susy matter Chern-Simons theories. J. High Energ. Phys. 2015, 176 (2015). https://doi.org/10.1007/JHEP10(2015)176
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DOI: https://doi.org/10.1007/JHEP10(2015)176