Vl.S. Dotsenko

TL;DR: Based on the conformal algebra approach, a general technique for the calculation of multipoint correlation functions in 2D statistical models at the critical point is given in this article, where particular conformal operator algebras are found for operators of the 2D q-component Potts model.

TL;DR: In this article, four-point correlation functions are calculated for the basic operators in 2D conformal invariant theories with the central charge of the corresponding Virasoro algebra C≤1.

TL;DR: The conformal algebra for operators of the Z3 model at the phase transition point is built in this article, where critical exponents are found in this approach as solutions of simple algebraic equations.

TL;DR: In this paper, the structure constants of operator algebras in conformal theories with central charge C ≤ 1 are explicitly calculated, and the central charge is assumed to be constant.

TL;DR: In this article, the SU(2) conformal field theory on a plane using the Wakimoto free field representation has been studied and operator algebra has been derived for rational j representations.