On the multiparametric {\cal U}_q[D_{n+1}^{(2)}] vertex model

Abstract

In this paper we consider families of multiparametric $R$-matrices to make a systematic study of the boundary Yang-Baxter equations in order to discuss the corresponding families of multiparametric $K$-matrices. Our results are indeed non-trivial generalization of the $K$-matrix solutions of the {\cal {U}}_{q}[D_{n+1}^{(2)}] vertex model when distinct reflections and extra free-parameters are admissible.

21 pages. arXiv admin note: text overlap with arXiv:nlin/0509014 by other authors

References in corpus (3)

• R-matrices and Spectrum of Vertex Models based on Superalgebras
• On $A_{n-1}^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n}^{(2)},A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
• New R-matrices from Representations of Braid-Monoid Algebras based on Superalgebras

Cited by in corpus (4)

• Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems
• The solutions of the Yang-Baxter equation for the $(n+1)(2n+1)$-vertex models through a differential approach
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• Boundary Algebraic Bethe Ansatz for a nineteen vertex model with $U_q[\mathrm{osp}(2|2{)}^{(2)}]$ symmetry