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A Comment on the Dual Field in the AdS–CFT Correspondence

2002/04/30 by M. Duetsch, M. Dütsch, K. -H. Rehren +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Geometry and complex manifolds #hep-th

paper · pdf · doi:10.1023/a:1021601215141

published as Lett.Math.Phys.62:171-184,2002 · 15 pages, v2 substantially revised and extended to vector fields, references added

arxiv created 2002/09/11 · openalex publication_date 2002/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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