Reflection equations and exactly solvable lattice spin models

Behrend, Roger E. ORCID: https://orcid.org/0000-0002-6143-7439 and Pearce, Paul A. 1996. Reflection equations and exactly solvable lattice spin models. Czechoslovak Journal of Physics 46 (12) , pp. 1179-1187. 10.1007/BF01690331

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Abstract

Reflection equations are used to obtain families of commuting double-row transfer matrices for interaction-round-a-face (IRF) models with fixed and free boundary conditions. We illustrate our methods for the Andrews-Baxter-Forrester (ABF) models which areL-state models associated with the quantum groupU q (su(2)) at a root of unity. We construct elliptic solutions to the reflection equations for the ABF models by a procedure which uses fusion to build the solutions starting from a trivial solution. Presented at the 5th International Colloquium on Quantum Groups: Quantum Groups and Integrable Systems, Prague, 20–22 June 1996.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Publisher:	Springer
ISSN:	0011-4626
Last Modified:	21 Oct 2022 10:10
URI:	https://orca.cardiff.ac.uk/id/eprint/39285

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