OPEs and 4-point Functions in AdS/CFT Correspondence

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Recently D'Hoker et al. (1999) computed 4-point correlation functions of axion and dilaton fields in type IIB SUGRA on AdS₅ x S⁵. We reproduce from a CFT point of view all power law singular terms in these AdS 4-point amplitudes. We also calculate a corresponding 4-point function in the weak coupling limit, gYM² N -> 0. Comparison reveals the existence of a primary operator that contributes to these same singular terms in the weak coupling limit but which does not contribute to the power law singular terms of the type IIB SUGRA 4-point function. We conclude that this new operator is not a chiral primary and hence acquires a large anomalous dimension in the strong coupling regime.