English

Free Field Construction for the ABF Models in Regime II

Quantum Algebra 2015-06-26 v2 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0001071,
  title  = {Free Field Construction for the ABF Models in Regime II},
  author = {M. Jimbo and H. Konno and S. Odake and Y. Pugai and J. Shiraishi},
  journal= {arXiv preprint arXiv:math/0001071},
  year   = {2015}
}

Comments

LaTeX2e, 36 pages ; Some misprints are corrected

R2 v1 2026-07-22T16:30:44.009Z