Interaction-Round-a-Face Models with Fixed Boundary Conditions: The ABF Fusion Hierarchy

Abstract

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-Baxter-Forrester models, for which we find that the double-row transfer matrices satisfy functional equations with an su(2) structure.

48 pages, LaTeX, requires about 79000 words of TeX memory. Submitted to J. Stat. Phys

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