(p, q)-Analog of Two-Dimensional Conformal Field Theory. The Ward Identities and Correlation Functions

A (p, q)-analog of two-dimensional conformally invariant field theory based on the quantum algebra U pq (su(1, 1)) is proposed.The representation of the algebra U pq (su(1, 1)) on the space of quasi-primary fields is given.The (p, q)-deformed Ward identities of conformal field theory are defined.The two-and three-point correlation functions of quasi-primary fields are calculated.