S-matrices for Perturbed N=2 Superconformal Field Theory from quantum groups

TL;DR

This paper derives S-matrices for integrable perturbations of N=2 superconformal field theories using quantum group restrictions, connecting coset models to affine Toda theories with background charge adjustments.

Contribution

It introduces a novel method to obtain S-matrices for perturbed N=2 superconformal models via quantum group techniques and affine Toda theory connections.

Findings

Derived explicit S-matrices for specific perturbed models

Established a link between coset theories and affine Toda models

Demonstrated the role of quantum groups in S-matrix construction

Abstract

S-matrices for integrable perturbations of $N=2$ superconformal field theories are studied. The models we consider correspond to perturbations of the coset theory $G_k \times H_{g-h} /H_{k+g-h} $. The perturbed models are closely related to $\hat G$-affine Toda theories with a background charge tuned to $H$. Using the quantum group restriction of the affine Toda theories we derive the S-matrix.