Integrability, duality and sigma models

V. A. Fateev, A. V. Litvinov

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We introduce and study conformal field theories specified by W −algebras commuting with certain set of screening charges. These CFT’s possess perturbations which define integrable QFT’s. We establish that these QFT’s have local and non-local Integrals of Motion and admit the perturbation theory in the weak coupling region. We construct factorized scattering theory which is consistent with non-local Integrals of Motion and perturbation theory. In the strong coupling limit the S−matrix of this QFT tends to the scattering matrix of the O(N) sigma model. The perturbation theory, Bethe ansatz technique, renormalization group approach and methods of conformal field theory are applied to show, that the constructed QFT’s are dual to integrable deformation of O(N) sigma-models.

Original languageEnglish
Article number204
JournalJournal of High Energy Physics
Issue number11
Publication statusPublished - 1 Nov 2018
Externally publishedYes


  • Conformal Field Theory
  • Integrable Field Theories
  • Sigma Models


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