Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons

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 \(\Phi _{(1,3)}\) 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.