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- Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory doi link

Auteur(s): Bershtein M. A., Fateev V., Litvinov A. V.

(Article) Publié: Nuclear Physics B, vol. 847 p.413-459 (2011)
Texte intégral en Openaccess : arxiv


Ref HAL: hal-00654715_v1
DOI: 10.1016/j.nuclphysb.2011.01.035
WoS: 000290781400007
Exporter : BibTex | endNote
15 Citations
Résumé:

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 them exactly. In particular, we evaluate the generalization of Selberg integral obtained by insertion of parafermionic polynomial. Our result is justified by different approach based on dual representation of parafermionic Liouville field theory described by three-exponential model. (C) 2011 Elsevier B.V. All rights reserved.