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

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

1995-02-12

arxiv.org/abs/hep-th/9502067v2

Nucl.Phys. B446 (1995) 485-510

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0550-3213(95)00210-J

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 $A^{(1)}_{n-1}\; \oplus A^{(1)}_{n-1}\;\supset \; A^{(1)}_{n-1}$.

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