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arXiv · math-ph/0209035

Generalized free fields and the AdS-CFT correspondence

M. Duetsch·K. -H. Rehren
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Abstract

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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M. Duetsch, K. -H. Rehren. 2002-09-19. Generalized free fields and the AdS-CFT correspondence. https://doi.org/10.1007/s00023-003-0141-9

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