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

M. A. Bershtein, V. A. Fateev, A. V. Litvinov

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)413-459
Number of pages47
JournalNuclear Physics B
Volume847
Issue number2
DOIs
Publication statusPublished - 11 Jun 2011
Externally publishedYes

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