SOLUTION OF FUNCTIONAL EQUATIONS OF RESTRICTED $A_{n-1}^{(1)}$ FUSED LATTICE MODELS

Abstract

Functional equations, in the form of fusion hierarchies, are studied for the transfer matrices of the fused restricted $A_{n-1}^{(1)}$ lattice models of Jimbo, Miwa and Okado. Specifically, these equations are solved analytically for the finite-size scaling spectra, central charges and some conformal weights. The results are obtained in terms of Rogers dilogarithm and correspond to coset conformal field theories based on the affine Lie algebra $A_{n-1}^{(1)}$ with GKO pair $A_{n-1}^{(1)}\oplus A_{n-1}^{(1)}\supset A_{n-1}^{(1)}$.

25 pages;latex file(epic.tex needed);Res.Rep.No 39;Tex Prob. fixed.

References in corpus (4)

• Functional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
• Functional Relations in Solvable Lattice Models II
• Fusion of \ade Lattice Models
• $SU$(2) Hierarchies of Dilute Lattice Models

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