Semiclassical four-point functions in AdS_5 x S^5

Understand

We consider a semiclassical (large string tension ~ \lambda^1/2) limit of 4-point correlator of two "heavy" vertex operators with large quantum numbers and two "light" operators.

• It can be written in a factorized form as a product of two 3-point functions, each given by the integrated "light" vertex operator on the classical string solution determined by the "heavy" operators.
• We check consistency of this factorization in the case of a correlator with two dilatons as "light" operators.
• We study in detail the example when all 4 operators are chiral primary scalars, two of which carry large charge J of order of string tension.