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Generalized free fields and the AdS-CFT correspondence

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arxiv math-ph/0209035 v1 pith:3JOMWPWS submitted 2002-09-19 math-ph hep-thmath.MP

M. Duetsch , K.-H. Rehren This is my paper · ORCID
classification math-phhep-thmath.MP
keywords fieldsfreegeneralizedstress-energytensorads-cftcorrespondencefield
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Motivated by structural issues in the AdS-CFT correspondence, the theory of generalized free fields is reconsidered. A stress-energy tensor for the generalized free field is constructed as a limit of Wightman fields. Although this limit is singular, it fulfils the requirements of a conserved local density for the Poincar'e generators. An explicit "holographic" formula relating the Klein-Gordon field on AdS to generalized free fields on Minkowski space-time is provided, and contrasted with the "algebraic" notion of holography. A simple relation between the singular stress-energy tensor and the canonical AdS stress-energy tensor is exhibited.

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Cited by 7 Pith papers

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