MINIMAL MODELS IN CONFORMAL FIELD THEORY AND INTEGRABLE LATTICE MODELS

概要

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Based on the rationality of the conformal field theory, we study the critical behavior of a class of integrable lattice model and determine the universality classes of their scaling limit. In particular, the RSOS models whose universality classes are non-unitary minimal models of the W_n algebra are studied in detail. The ground state structure is investigated, and the parametrization by the dominant integral weights of A^<(1)>_<n-1> is given. Using it, the local state probabilities are calculated in terms of the W_n characters. This shows the scaling relations between the critical exponents of a non-unitary RSOS model and the anomalous dimensions of the primary fields of the corresponding minimal model. We further study a more general class of rational conformal field theories, which we call rational coset model, and the related fused RSOS models. The numerical calculation supports that our analysis can be extended also to this case. The physical behavior at low temperatures is studied for an arbitrary rational RSOS model. The RSOS models exhibit the ferro-or antiferro-magnetic property according to the coupling parameter. We use a duality transformation between the ferro- and antiferro-magnetization, and the classification scheme is determined. The application to the rational Toda field theory is mentioned.
素粒子論グループ素粒子研究編集部の論文
1990-04-20