On consistency of perturbed generalised minimal models

TL;DR

This paper investigates the consistency of perturbed Generalised Minimal Models by analyzing the properties of a key function governing one-point functions, ensuring the theoretical framework's validity.

Contribution

It proves that the function describing one-point functions in perturbed models satisfies essential properties for the model's consistency.

Findings

The function $(,)$ satisfies necessary consistency properties.

The results support the validity of the perturbed Generalised Minimal Model framework.

The work provides mathematical foundations for future studies of perturbed conformal field theories.

Abstract

We consider the massive {perturbation} of the Generalised Minimal Model introduced by Al. Zamolodchikov. The one-point functions in this case are supposed to be described by certain function $\omega(\z,\xi)$. We prove that this function satisfies several properties which are necessary for consistency of the entire procedure.