# Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality

## TL;DR

This paper investigates integrable deformations of sine-Liouville conformal field theory, constructing scattering matrices and revealing duality properties using perturbation theory, Bethe ansatz, and renormalization group methods.

## Contribution

It introduces a comprehensive analysis of integrable deformations of sine-Liouville CFT, including the construction of scattering matrices and duality properties.

## Key findings

- Constructed factorized scattering matrices for deformed models
- Identified duality properties in all integrable deformations
- Applied perturbation theory and Bethe ansatz to analyze models

## Abstract

We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized scattering matrices for different integrable perturbed conformal field theories. The perturbation theory, Bethe ansatz technique, renormalization group and methods of perturbed conformal field theory are applied to show that all integrable deformations of sine-Liouville model possess non-trivial duality properties.