A Construction of Solutions to Reflection Equations for Interaction-Round-a-Face Models

Details A Construction of Solutions to Reflection Equations for Interaction-Round-a-Face Models A Construction of Solutions to Reflection Equations for Interaction-Round-a-Face Models

1995-12-29

arxiv.org/abs/hep-th/9512218v1

J.Phys.A29:7827-7836,1996

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1088/0305-4470/29/24/009

We present a procedure in which known solutions to reflection equations for interaction-round-a-face lattice models are used to construct new solutions. The procedure is particularly well-suited to models which have a known fusion hierarchy and which are based on graphs containing a node of valency $1$. Among such models are the Andrews-Baxter-Forrester models, for which we construct reflection equation solutions for fixed and free boundary conditions.

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