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 models, for which we find that the double-row
transfer matrices satisfy functional equations with an su(2) structure.Comment: 48 pages, LaTeX, requires about 79000 words of TeX memory. Submitted
  to J. Stat. Phy

Behrend, Roger E.

O'Brien, David L.

Pearce, Paul A.

English

arXiv

We use boundary weights and re°ection equations to obtain families of commuting double-row transfer matrices for interaction-round-a-face (IRF) models with flxed 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 re°ection equations, and flnd that the double-row transfer matrices satisfy functional equations with the same form as in the case of periodic boundary conditions. KEY WORDS: Andrews-Baxter-Forrester models, exactly solvable lattice models, flxed boundary conditions, re°ection equations, Yang-Baxter equatio

Roger E. Behrend

Paul A. Pearce

David L. O’brien

CiteSeerX

Interaction-round-aface models with fixed boundary conditions: the ABF fusion hierarchy

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 models, for which we find that the double-row transfer matrices satisfy functional equations with an su(2) structure

Behrend, R E

Pearce, P A

O'Brien, D L

CERN Document Server

Interaction-round-a-face models with fixed boundary conditions: the ABF fusion hierarchy

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

O'Brien, D. L.

Online Research @ Cardiff

Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy

Interaction-Round-a-Face Models with Fixed Boundary Conditions: The ABF
  Fusion Hierarchy

Interaction-Round-a-Face Models with Fixed Boundary Conditions: The ABF Fusion Hierarchy

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CERN Document Server

Online Research @ Cardiff