Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy |
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Authors: | Roger E Behrend Paul A Pearce David L O'Brien |
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Institution: | (1) Department of Mathematics, University of Melbourne, 3052 Parkville, Victoria, Australia |
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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. |
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Keywords: | Andrews-Baxter-Forrester models exactly solvable lattice models fixed boundary conditions reflection equations Yang-Baxter equation |
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