Generalized free fields and the AdS-CFT correspondence
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.math-ph/0209035,
title = {Generalized free fields and the AdS-CFT correspondence},
author = {M. Duetsch and K. -H. Rehren},
journal= {arXiv preprint arXiv:math-ph/0209035},
year = {2008}
}
Comments
25 pages