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.
- Publication:
-
Annales Henri Poincaré
- Pub Date:
- September 2000
- DOI:
- 10.1007/PL00001009
- arXiv:
- arXiv:hep-th/9905179
- Bibcode:
- 2000AnHP....1..607R
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 16 pages, 1 figure, v3: new material added in response to referees' reports, v4: a hasty conclusion in v3 rectified + more cosmetic changes