Fundamental S-matrix for vector perturbed WD_n minimal models

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 $k\rightarrow \infty$

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