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

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

1995-07-21

arxiv.org/abs/hep-th/9507118v2

J. Stat. Phys. 84 (1996) 1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF02179576

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.

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