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Preprint . 1999
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Annales Henri Poincaré
Article . 2000 . Peer-reviewed
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Article . 1999
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Algebraic Holography

Algebraic holography
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2000Embargo end date: 01 Jan 1999 English Publisher:Springer Science and Business Media LLCJournal:Annales Henri Poincaré, volume 1, pages 607-623 (issn: 1424-0637, Copyright policy )
Authors: Rehren, K. H.;

doi: 10.1007/pl00001009 , 10.48550/arxiv.hep-th/9905179

arXiv: http://arxiv.org/abs/hep-th/9905179

Algebraic Holography

Abstract

A rigorous (and simple) proof is given that there is a one-to-one correspondence between causal anti-deSitter covariant quantum field theories on anti-deSitter space and causal conformally covariant quantum field theories on its conformal boundary. The correspondence is given by the explicit identification of observables localized in wedge regions in anti-deSitter space and observables localized in double-cone regions in its boundary. It takes vacuum states into vacuum states, and positive-energy representations into positive-energy representations.

16 pages, 1 figure, v3: new material added in response to referees' reports, v4: a hasty conclusion in v3 rectified + more cosmetic changes

Related Organizations
Keywords

High Energy Physics - Theory, AdS/CFT correspondence, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), wedge regions, anti-deSitter space, Axiomatic quantum field theory; operator algebras, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, General Relativity and Quantum Cosmology, double cones, Applications of functional analysis in quantum physics, High Energy Physics - Theory (hep-th), causal nets of observable algebras, anti-deSitter group

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 72
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
72
Top 10%
Top 10%
Top 10%
Green