Diagonal solutions to reflection equations in higher spin models

J. Abad, M Rios

Wu Jun-Fang, Zhang Chun-Min, Rui‐Hong Yue +1 more

The nested Bethe ansatz (BA) method is applied to find the eigenvalues and the eigenvectors of the transfer matrix for spin-ladder model with open boundary conditions. Based on the reflection equation, we find the general diagonal solution, which determines the general boundary interaction in the Hamiltonian. We introduce the spin-ladder model with open boundary conditions. By finding the solution K± of the reflection equation which determines the nontrivial boundary terms in the Hamiltonian, we diagonalize the transfer matrix of the spin-ladder model with open boundary conditions in the framework of nested BA.

Roger E. Behrend, Paul A. Pearce

Wen‐Li Yang, Ryu Sasaki B

We obtain a diagonal solution of the dual reflection equation for the elliptic An−1(1) solid-on-solid model. The isomorphism between the solutions of the reflection equation and its dual is studied.

A. Lima-Santos

We have find the diagonal K matrix solutions of the reflection equations for a class of vertex models. These models have (n+1)(2n+1) vertices and are defined as two set of (n + 1) R matrices, solutions of the equations of Yang-Baxter equations. For a given value of \text{n} we find n!-\frac{1}{2}(n-2)(n-1) K diagonal matrices.

Marek Czachor