%0 Journal Article
%T Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
%+ Laboratoire Charles Coulomb (L2C)
%A Bershtein, M. A.
%A Fateev, Vladimir
%A Litvinov, A. V.
%< avec comité de lecture
%Z L2C:11-282
%@ 0550-3213
%J Nuclear Physics B
%I Elsevier
%V 847
%P 413-459
%8 2011
%D 2011
%Z 1011.4090
%R 10.1016/j.nuclphysb.2011.01.035
%K EXPECTATION VALUES
%K OPERATOR ALGEBRA
%K QUANTUM GEOMETRY
%K SCALING FIELDS
%K MULTIPOINT CORRELATION-FUNCTIONS
%K TREE SCATTERING-AMPLITUDES
%K SIGMA-MODEL
%K STRUCTURE CONSTANTS
%K 2-PARAMETER FAMILY
%K CONFORMAL SYMMETRY
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Mathematics [math]/Mathematical Physics [math-ph]
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X 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.
%G English
%L hal-00654715
%U https://hal.science/hal-00654715
%~ CNRS
%~ INSMI
%~ L2C
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021