Abstract
The Wakimoto construction for the quantum affine algebra U\(_q\)(\((\widehat{\mathfrak{s}\mathfrak{l}_2 })\)) 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 \(\mathbb{Z}\) \(_k\) symmetric minimal scattering matrices.
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Jimbo, M., Konno, H., Odake, S. et al. Free Field Construction for the ABF Models in Regime II. Journal of Statistical Physics 102, 883–921 (2001). https://doi.org/10.1023/A:1004807104626
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DOI: https://doi.org/10.1023/A:1004807104626