Free Field Construction for the ABF Models in Regime II

Details Free Field Construction for the ABF Models in Regime II Free Field Construction for the ABF Models in Regime II

2000-01-13

arxiv.org/abs/math/0001071v2

J.Statist.Phys. 102 (2001) 883-921

Mathematics

Quantum Algebra

LaTeX2e, 36 pages ; Some misprints are corrected

Scientific paper

The Wakimoto construction for the quantum affine algebra U_q(\hat{sl}_2) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field realization of the Andrews-Baxter-Forrester models in regime II. We give multi-particle form factors of some local operators on the lattice and compute their scaling limit, where the models are described by a massive field theory with Z_k symmetric minimal scattering matrices.

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