Complete S-matrices of supersymmetric sine-gordon theory and perturbed superconformal minimal model

Abstract

We derive the first complete S-matrices of the supersymmetric sine-Gordon theory for a general value of coupling constant. The spectrum includes not only solitons and antisolitons but also their bound states. The S-matrices are computed based on the soliton S-matrix which was obtained from the S-matrix of perturbed superconformal unitary model. After constructing a superconformal non-unitary model from the coset CFT with admissible representations, we derive the S-matrices of the perturbed superconformal non-unitary model by restricting the SSG S-matrices. We generalize these results to the theories with the fractional supersymmetries.