Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons

Details Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons

1991-11-07

arxiv.org/abs/hep-th/9111014v1

Nucl.Phys. B372 (1992) 533-558

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1016/0550-3213(92)90365-I

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.

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