Fusion of Dilute $A_L$ Lattice Models

Details Fusion of Dilute $A_L$ Lattice Models Fusion of Dilute $A_L$ Lattice Models

1995-06-17

arxiv.org/abs/hep-th/9506108v1

Physica A222 (1995) 261-306

Physics

High Energy Physics

High Energy Physics - Theory

45 pages; Latex file; epsf.tex needed for graphs

Scientific paper

The fusion procedure is implemented for the dilute $A_L$ lattice models and a fusion hierarchy of functional equations with an $su(3)$ structure is derived for the fused transfer matrices. We also present the Bethe ansatz equations for the dilute $A_L$ lattice models and discuss their connection with the fusion hierarchy. The solution of the fusion hierarchy for the eigenvalue spectra of the dilute $A_L$ lattice models will be presented in a subsequent paper.

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