Solution of functional equations of restricted An−1(1) fused lattice models Original Research Article

Functional equations, in the form of fusion hierarchies, are studied for the transfer matrices of the fused restricted An−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 An−1(1) with GKO pair An−1(1) ⊕ An−1(1) ⊃ An−1(1).