GENERALIZED PARAFERMIONIC THEORY AND INTEGRABLE LATTICE MODELS

We show that the criticality of integrable lattice models based on the Lie algebras An,Dn,En can be understood as the product of certain numbers of bosonic fields and a generalized parafermionic (fractional spin) theory (GPT). We compute the central charge of the GPT using the thermodynamic Bethe-ansatz approach. For the model associated with the A2 Lie algebra, we propose that the associated GPT can be described by a composition of Ising and tricritical-Ising conformal field theories. © 1990 The American Physical Society.