Conformal algebra and multipoint correlation functions in 2D statistical models

Abstract

Based on the conformal algebra approach, a general technique is given for the calculation of multipoint correlation functions in 2D statistical models at the critical point. Particular conformal operator algebras are found for operators of the 2D q-component Potts model (1 < q < 4), and the O( N) model (0 < N < 2) at the critical point. A number of four-point correlation functions are calculated for these models.