Diagonal solutions to reflection equations in higher spin models
نویسنده
چکیده
A general fusion method to find solutions to the reflection equation in higher spin representations starting from the fundamental one is shown. The method is illustrated by applying it to obtaining the K diagonal boundary matrices in an alternating spin 1/2 and spin 1 chain. The hamiltonian is also given. The applicability of the method to higher rank algebras is shown by obtaining the K diagonal matrices for a spin chain in the {3∗} representation of su(3) from the {3} representation.
منابع مشابه
Interaction-Round-a-Face Models with Fixed Boundary Conditions: The ABF Fusion Hierarchy
We use boundary weights and reflection equations to obtain families of commuting double-row transfer matrices for interaction-round-a-face models with fixed boundary conditions. In particular, we consider the fusion hierarchy of the Andrews-BaxterForrester models, for which we find that the double-row transfer matrices satisfy functional equations with an su(2) structure. July 24, 1995 1 . Intr...
متن کاملOn Baxterized Solutions of Reflection Equation and Integrable Chain Models
Non-polynomial baxterized solutions of reflection equations associated with affine Hecke and affine Birman-Murakami-Wenzl algebras are found. Relations to integrable spin chain models with nontrivial boundary conditions are discussed.
متن کاملStatistical Models with a Line of Defect
The factorization condition for the scattering amplitudes of an integrable model with a line of defect gives rise to a set of Reflection-Transmission equations. The solutions of these equations in the case of diagonal S-matrix in the bulk are only those with S = ±1. The choice S = −1 corresponds to the Ising model. We compute the transmission and reflection amplitudes relative to the interactio...
متن کاملar X iv : m at h / 02 08 04 3 v 1 [ m at h . Q A ] 6 A ug 2 00 2 QUANTUM AFFINE
Quantum affine reflection algebras are coideal subalgebras of quantum affine algebras that lead to trigonometric reflection matrices (solutions of the boundary Yang-Baxter equation). In this paper we use the quantum affine reflection algebras of type d (1) n to determine new n-parameter families of non-diagonal reflection matrices. These matrices describe the reflection of vector solitons off t...
متن کاملFrom affine Hecke algebras to boundary symmetries
Solutions of the reflection equation for the Uq(ŝln) case are obtained by implementing certain realizations of the affine Hecke algebra. The boundary non-local charges associated to non-diagonal solutions of the reflection equation are constructed systematically, and the symmetry of the corresponding open spin chain is investigated. We prove that the symmetry of the open spin chain is essential...
متن کامل