Algebraic Holography

Details Algebraic Holography Algebraic Holography

1999-05-25

arxiv.org/abs/hep-th/9905179v4

AnnalesHenriPoincare1:607-623,2000

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/PL00001009

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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