Solving the fusion hierarchies of D and E lattice models

The D and E lattice models are the generalisation of the restricted A lattice model (or ABF model). They are together called the A-D-E models. In this paper we consider the critical D and E fused models. The finite-size corrections to the eigenvalues of the fused transfer matrices are obtained by solving the fusion hierarchies of the transfer matrices in the thermodynamic limit. The spins and critical exponents of the underlying primary operators are thus extracted from the finite-size scaling spectra. © 1997 Published by Elsevier Science B.V.