Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories

TL;DR

This paper computes vacuum expectation values of local fields in a family of integrable models, providing explicit formulas for related parafermionic sine-Gordon and perturbed conformal field theories, advancing understanding of their structure.

Contribution

It introduces explicit expressions for vacuum expectation values in parafermionic sine-Gordon and perturbed SU(2) coset models, linking integrable models with conformal field theories.

Findings

Derived vacuum expectation values for a two-parameter integrable family.

Proposed explicit formulas for local operators in related models.

Enhanced understanding of the structure of perturbed conformal field theories.

Abstract

We calculate the vacuum expectation values of local fields for the two-parameter family of integrable field theories introduced and studied by Fateev. Using this result we propose an explicit expression for the vacuum expectation values of local operators in parafermionic sine-Gordon models and in integrable perturbed SU(2) coset conformal field theories.