Boundary conditions compatible with integrability are obtained for two-dimensional models by solving the factorizability equations for the reflection matrices K +or- ( theta ). For the six vertex model the general solution depending on four arbitrary parameters is found. For the A n-1 models all diagonal solutions are found. The associated integrable magnetic Hamiltonians are explicitly derived.

arXiv:hep-th/9211114Journal of Physics A Mathematical and GeneralJun 21, 1993237 citations

General Yang-Baxterization of reflection equations and general K-matrices of An-1vertex models

Hong‐Chen Fu, Mo‐Lin Ge

General Yang-Baxterization of reflection equations for R with two distinct eigenvalues is presented. This procedure is used to construct reflection K-matrices of reflection equations for the A n-1 vertex models. (Diagonal) K-matrices by de Vege and Gonzalez-Ruiz(1993) for the A n-1 vertex model are reproduced. Furthermore, some new off-diagonal K-matrices for the A n-1 vertex model are obtained.

Journal of Physics A Mathematical and GeneralJul 7, 19943 citations