Integrable structure, W-symmetry and AGT relation - Laboratoire Charles Coulomb (L2C) Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2011

Integrable structure, W-symmetry and AGT relation

Vladimir Fateev
  • Fonction : Auteur
  • PersonId : 916578
A. V. Litvinov
  • Fonction : Auteur

Résumé

In these notes we consider integrable structure of the conformal field theory with the algebra of symmetries $\mathcal{A}=W_{n}\otimes H$, where $W_{n}$ is $W-$algebra and $H$ is Heisenberg algebra. We found the system of commuting Integrals of Motion with relatively simple properties. In particular, this system has very simple spectrum and the matrix elements of special primary operators between its eigenstates have nice factorized form coinciding exactly with the contribution of the bifundamental multiplet to the Nekrasov partition function for U(n) gauge theories.

Dates et versions

hal-00654717 , version 1 (22-12-2011)

Identifiants

Citer

Vladimir Fateev, A. V. Litvinov. Integrable structure, W-symmetry and AGT relation. 2011. ⟨hal-00654717⟩
73 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More