Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons

TL;DR

This paper investigates fractional fermion number solitons in integrable N=2 supersymmetric models, deriving their S-matrix, analyzing thermodynamics, and confirming consistency with conformal field theory in the ultraviolet limit.

Contribution

It introduces the S-matrix for fractional-charged solitons in N=2 supersymmetric models and explores their thermodynamics and Landau-Ginzburg description, extending understanding of such solitons.

Findings

S-matrix is a tensor product of an ADE minimal model and a supersymmetric part

Ground-state energy calculations match conformal field theory predictions

Ultraviolet limit confirms the models' consistency with conformal field theory

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.