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Research Report MRR97-044

Solving the fusion heirarchies of D and E lattice models

Yu-kui Zhou, Wei-wei Sun

Abstract: The D and E lattice models are the generalisation of the restricted A lattice model (or ABF model). They are together called the ADE 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.


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