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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Submitted 26/05/99, revised 07/10/99, accepted 08/10/99
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Rehren, KH. Algebraic Holography. Ann. Henri Poincaré 1, 607–623 (2000). https://doi.org/10.1007/PL00001009
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DOI: https://doi.org/10.1007/PL00001009