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

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

2010-11-17

arxiv.org/abs/1011.4090v2

Nucl.Phys.B847:413-459,2011

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/j.nuclphysb.2011.01.035

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.

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