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

David L. O'Brien (University of Melbourne); Paul A. Pearce; Roger E. Behrend

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

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arxiv hep-th/9507118 v2 pith:ABXY2E3G submitted 1995-07-21 hep-th

Roger E. Behrend , Paul A. Pearce , David L. O'Brien (University of Melbourne) This is my paper · ORCID

classification hep-th

keywords boundarymodelsconditionsdouble-rowequationsfixedfusionhierarchy

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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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