Semiclassical four-point functions in AdS5 × S5

@article{Buchbinder2011SemiclassicalFF,
  title={Semiclassical four-point functions in AdS5 × S5},
  author={Evgeny I. Buchbinder and Arkady A. Tseytlin},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2011},
  pages={1-25}
}
We consider a semiclassical (large string tension ∼ $ \sqrt {\lambda } $) 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… 
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