On Four-point Functions in the CFT/AdS Correspondence

Details On Four-point Functions in the CFT/AdS Correspondence On Four-point Functions in the CFT/AdS Correspondence

1998-07-14

arxiv.org/abs/hep-th/9807097v4

Phys.Rev.D59:086002,1999

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, using harvmac and epsf, three figures; v2,v3: minor corrections; v4: argument at the end of section 5 corrected and

Scientific paper

10.1103/PhysRevD.59.086002

We discuss the properties of four-point functions in the context of the correspondence between a classical supergravity theory in the bulk of the Anti de Sitter space and quantum conformal field theory at the boundary. The contribution to a four-point function from the exchange of a scalar field of arbitrary mass in AdS space is explicitly identified with that of the corresponding operator in the conformal partial wave expansion of a four-point function on the CFT side. Integral representations are found for the massless vector and graviton exchanges. We also discuss some aspects of the four-point functions of Tr F^2 and Tr F F^* (`dilaton' and `axion') operators in the N =4 supersymmetric Yang-Mills.

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