220 citations · 1.5k across the 28 of their papers we have counts for
29 papers
Classical and quantum integrable sigma models. Ricci flow, "nice duality" and perturbed rational conformal field theories
Vladimir Fateev
We consider classical and quantum integrable sigma models and their relations with the solutions of renormalization group equations. We say that an integrable sigma model possesses…
Integrability, Duality and Sigma Models
V. A. Fateev, A. V. Litvinov
We introduce and study conformal field theories specified by algebras commuting with certain set of screening charges. These CFT's possess perturbations which define integrable…
Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality
Vladimir A. Fateev
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 (hier…
Integrable structure, W-symmetry and AGT relation
V. A. Fateev, A. V. Litvinov
In these notes we consider integrable structure of the conformal field theory with the algebra of symmetries , where is algebra and is H…
On combinatorial expansion of the conformal blocks arising from AGT conjecture
V. A. Alba, V. A. Fateev, A. V. Litvinov +1
In their recent paper \cite{Alday:2009aq} Alday, Gaiotto and Tachikawa proposed a relation between four-dimensional supersymmetric gauge theories and two-dimensiona…
Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
M. A. Bershtein, V. A. Fateev, A. V. Litvinov
In this paper we consider parafermionic Liouville field theory. We study integral representations of three-point correlation functions and develop a method allowing us to compute t…