Free Field Construction for the ABF Models in Regime II

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.

LaTeX2e, 36 pages ; Some misprints are corrected

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Cited by in corpus (13)

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• On scaling fields in $Z_N$ Ising models
• Correlation functions of disorder fields and parafermionic currents in Z(N) Ising models
• Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder
• Free field representation and form factors of the chiral Gross-Neveu model
• The complex sinh-Gordon model: form factors of descendant operators and current-current perturbations
• The Elliptic Algebra U_{q,p}(sl_N^) and the Deformation of W_N Algebra
• Elliptic Algebra U_{q,p}(g^) and Quantum Z-algebras
• Lattice models, deformed Virasoro algebra and reduction equation
• Elliptic Quantum Toroidal Algebras, Z-algebra Structure and Representations
• Algebraic approach to form factors in the complex sinh-Gordon theory