A comment on the dual field in the AdS-CFT correspondence

Details A comment on the dual field in the AdS-CFT correspondence A comment on the dual field in the AdS-CFT correspondence

2002-04-16

arxiv.org/abs/hep-th/0204123v2

Lett.Math.Phys.62:171-184,2002

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, v2 substantially revised and extended to vector fields, references added

Scientific paper

10.1023/A:1021601215141

In the perturbative AdS-CFT correspondence, the dual field whose source are the prescribed boundary values of a bulk field in the functional integral, and the boundary limit of the quantized bulk field are the same thing. This statement is due to the fact that Witten graphs are boundary limits of the corresponding Feynman graphs for the bulk fields, and hence the dual conformal correlation functions are limits of bulk correlation functions. This manifestation of duality is analyzed in terms of the underlying functional integrals of different structure.

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