Perturbed Logarithmic CFT and Integrable Models

TL;DR

This paper explores how perturbing logarithmic conformal field theories can lead to integrable models, deriving conditions for integrability and providing specific examples.

Contribution

It introduces a method to identify perturbations that preserve integrability in logarithmic conformal field theories and demonstrates this with explicit examples.

Findings

Derived conditions for integrability in perturbed logarithmic CFTs

Identified specific perturbations leading to integrable models

Provided examples illustrating the theory

Abstract

Perturbation of logarithmic conformal field theories is investigated using Zamolodchikov's method. We derive conditions for the perturbing operator, such that the perturbed model be integrable. We also consider an example where integrable models arise out of perturbation of known logarithmic conformal field theories.