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Free Field Construction for the ABF Models in Regime II |
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| Authors: | Michio Jimbo Hitoshi Konno Satoru Odake Yaroslav Pugai Jun'ichi Shiraishi |
| Affiliation: | 1. Division of Mathematics, Graduate School of Science, Kyoto University, Kyoto, 606-8502, Japan 2. Department of Mathematics, Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima, 739-8521, Japan 3. Department of Physics, Faculty of Science, Shinshu University, Matsumoto, 390-8621, Japan 4. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan 5. Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, 153-8914, Japan |
| 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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