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arXiv · hep-th/9905179

Algebraic Holography

K. -H. Rehren
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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.

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K. -H. Rehren. 1999-10-07. Algebraic Holography. https://doi.org/10.1007/pl00001009

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