Author:
Fateev V. A.,Litvinov A. V.
Abstract
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference28 articles.
1. V.A. Fateev, E. Onofri and A.B. Zamolodchikov, The sausage model (integrable deformations of O(3) σ-model), Nucl. Phys.
B 406 (1993) 521 [INSPIRE].
2. V.A. Fateev, The σ-model (dual) representation for a two-parameter family of integrable quantum field theories, Nucl. Phys.
B 473 (1996) 509 [INSPIRE].
3. C. Klimčík, On integrability of the Yang-Baxter σ-model, J. Math. Phys.
50 (2009) 043508 [arXiv:0802.3518] [INSPIRE].
4. F. Delduc, M. Magro and B. Vicedo, On classical q-deformations of integrable σ-models, JHEP
11 (2013) 192 [arXiv:1308.3581] [INSPIRE].
5. V.A. Fateev, Integrable deformations of sine-Liouville conformal field theory and duality, SIGMA
13 (2017) 080 [arXiv:1705.0642].
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献