Unitarity, crossing symmetry and duality in the scattering of N=1 susy matter Chern-Simons theories

Abstract: We study the most general renormalizable 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.