Simple Construction of Elliptic Boundary K-Matrix

Abstract

We give the infinite-dimensional representation for the elliptic $K$-operator satisfying the boundary Yang-Baxter equation. By restricting the functional space to finite-dimensional space, we construct the elliptic $K$-matrix associated to Belavin's completely $\mathbb{Z}$-symmetric $R$-matrix.

10 pages, Latex2e with AMS

References in corpus (3)

• Boundary K-matrices for the XYZ, XXZ AND XXX spin chains
• Integrable XYZ Spin Chain with Boundaries
• A simple construction of elliptic $R$-matrices