Fundamental S-matrix for vector perturbed WD_n minimal models

TL;DR

This paper constructs the kink-kink S-matrix for integrable vector perturbed $WD_{n}^{(k)}$ minimal models using RSOS model weights, validating it in specific limits.

Contribution

It introduces a new S-matrix construction for vector perturbed $WD_{n}^{(k)}$ models based on RSOS models, expanding understanding of their integrable structure.

Findings

S-matrix constructed from $A_{2n-1}^{(2)}$ RSOS weights

Validation in the limits $k=1$ and $k ightarrow $

Provides a consistent framework for vector perturbed minimal models

Abstract

Kink-kink S-matrix for integrable vector perturbed $WD_{n}^{(k)}$ minimal models is constructed from the Boltzmann weights of $A_{2n-1}^{(2)}$ RSOS model and checked in two limit cases $k=1$ and $k\rightarrow \infty$