Free Field Construction for the ABF Models in Regime II

TL;DR

This paper presents a free field realization of the ABF models in regime II using Wakimoto construction, providing explicit form factors and analyzing their scaling limit to connect lattice models with massive field theories.

Contribution

It introduces a novel free field construction for ABF models in regime II and computes multi-particle form factors and their scaling limits.

Findings

Explicit multi-particle form factors for local operators

Scaling limit connects lattice models to massive Z_k symmetric field theories

Provides a bridge between algebraic constructions and continuum field theories

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.