Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy

Behrend, Roger E. ORCID: https://orcid.org/0000-0002-6143-7439, Pearce, Paul A. and O'Brien, D. L. 1996. Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy. Journal of Statistical Physics 84 (1-2) , pp. 1-48. 10.1007/BF02179576

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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 (ABF) models, for which we obtain diagonal, elliptic solutions to the reflection equations, and find that the double-row transfer matrices satisfy functional equations with the same form as in the case of periodic boundary conditions.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Uncontrolled Keywords:	Andrews-Baxter-Forrester models; exactly solvable lattice models; fixed boundary conditions; reflection equations; Yang-Baxter equation
Publisher:	Springer
ISSN:	0022-4715
Last Modified:	21 Oct 2022 10:10
URI:	https://orca.cardiff.ac.uk/id/eprint/39283

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