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: | 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 |
Citation Data
Cited 92 times in Scopus. View in Scopus. Powered By Scopus® Data
Actions (repository staff only)
Edit Item |