A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes
arXiv:1809.05123 · doi:10.1088/1361-6382/ab0cb1
Abstract
In the setting of non-interacting Klein-Gordon fields on asymptotically anti-de Sitter spacetimes, we show that algebras of observables localized in a neighborhood of the boundary are subalgebras of a boundary algebra. The underlying mechanism is directly related to holography for classical fields. In particular, the proof relies on unique continuation theorems at the conformal boundary.
arXiv commentv2, various corrections and improvements, submitted
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