00 2 A ( 1 ) n − 1 Reflection K - Matrices

ar 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...

K-Matrices, and D(2) n+1 Reflection

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...

3 O ct 2 00 7 Canonical form of m - by - 2 - by - 2 matrices over a field of characteristic other than two

We give a canonical form of m × 2 × 2 matrices for equivalence over any field of characteristic not two. of dimensions m, n, and q over a field F is given by the m × n × q spatial matrix A = [a ijk ] m i=1 n j=1 q k=1 , a ijk = f

ar X iv : h ep - t h / 96 05 21 9 v 1 3 0 M ay 1 99 6 Reflection Matrices for Integrable N = 1 Supersymmetric Theories

We study two-dimensional integrable N = 1 supersymmetric theories (without topological charges) in the presence of a boundary. We find a universal ratio between the reflection amplitudes for particles that are related by super-symmetry and we propose exact reflection matrices for the supersymmetric extensions of the multi-component Yang-Lee models and for the breather multiplets of the supersym...