Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 13 (2017), 080, 22 pages      arXiv:1705.06424      https://doi.org/10.3842/SIGMA.2017.080
Contribution to the Special Issue on Recent Advances in Quantum Integrable Systems

Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality

Vladimir A. Fateev ab
a) Laboratoire Charles Coulomb UMR 5221 CNRS-UM2, Université de Montpellier, 34095 Montpellier, France
b) Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia

Received April 24, 2017, in final form October 03, 2017; Published online October 13, 2017

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.

Key words: integrability; duality; Ricci flow.

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