Abstract
We investigate the regular solutions of the boundary Yang–Baxter equation for the vertex models associated with the B n (1) and A 2 n (2) affine Lie algebras. In both class of models we find two general solutions with n+1 free parameters. In addition, we have find 2 n−1 diagonal solutions for B n (1) models and 2 n+1 diagonal solutions for A 2 n (2) models. It turns out that for each B n (1) model there exist a diagonal K-matrix with one free parameter. Moreover, a three free parameter general solution exists for the B 1 (1) model which is the vector representation for the Zamolodchikov–Fateev model.
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