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A (p,q)-analog of two-dimensional conformally invariant field theory based on the quantum algebra Upq(su(1,1)) is proposed. The representation of the algebra Upq(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.

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