Interaction-Round-a-Face Models with Fixed Boundary Conditions: The ABF Fusion Hierarchy
High Energy Physics - Theory
2009-10-28 v2
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.
Keywords
Cite
@article{arxiv.hep-th/9507118,
title = {Interaction-Round-a-Face Models with Fixed Boundary Conditions: The ABF Fusion Hierarchy},
author = {Roger E. Behrend and Paul A. Pearce and David L. O'Brien},
journal= {arXiv preprint arXiv:hep-th/9507118},
year = {2009}
}
Comments
48 pages, LaTeX, requires about 79000 words of TeX memory. Submitted to J. Stat. Phys