Free Field Construction for the ABF Models in Regime II
M. Jimbo, H. Konno, S. Odake, Y. Pugai, J. Shiraishi
Abstract
The Wakimoto construction for the quantum affine algebra Uq(sl2) 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 Zk symmetric minimal scattering matrices.
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