2001/04/25 by A. Lima-Santos · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #nlin.SI
paper · pdf · doi:10.1016/s0550-3213(01)00345-5
published as Nucl.Phys.B612:446-460,2001 · 18 pages, Latex
arxiv created 2001/04/25 · openalex publication_date 2001/10/01 · arxiv updated 2010/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated to the Dn+1^(2) affine Lie algebra. We have classified them in terms of three types of K-matrices. The first one have n+2 free parameters and all the matrix elements are non-null. The second solution is given by a block diagonal matrix with just one free parameter. It turns out that for n even there exists a third class of K-matrix withou free parameter.