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
|
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: | 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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