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29 March 2024
 
  » arxiv » math-ph/0209035

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Generalized free fields and the AdS-CFT correspondence
M. Duetsch ; K.-H. Rehren ;
Date 19 Sep 2002
Journal Annales Henri Poincare 4 (2003) 613-635
Subject Mathematical Physics MSC-class: 81T05, 81T10, 81T20 | math-ph hep-th math.MP
AbstractMotivated 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.
Source arXiv, math-ph/0209035
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