Abstract
We show that there are solitons with fractional fermion number in integrable N = 2 supersymmetric models. We obtain the soliton S-matrix for the minimal, N = 2 supersymmetric theory perturbed in the least relevant chiral primary field, the φ (1,3) superfield. The perturbed theory has a nice Landau-Ginzburg description with a Chebyshev polynomial superpotential. We show that the S-matrix is a tensor product of an associated ordinary ADE minimal model S-matrix with a supersymmetric part. We calculate the ground-state energy in these theories and in the analogous N = 1 case and SU(2) coset models. In all cases, the ultraviolet limit is in agreement with the conformal field theory.
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