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A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes

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arxiv 1809.05123 v2 pith:7IPDVQFM submitted 2018-09-13 math-ph hep-thmath.MP

Wojciech Dybalski , Micha{l} Wrochna This is my paper · ORCID
classification math-phhep-thmath.MP
keywords boundaryfieldsanti-deholographymechanismnon-interactingsitterspacetimes
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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.

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Cited by 1 Pith paper

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  1. On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary

    math-ph 2019-08 conditional novelty 6.0 of 10

    Maxwell k-form solution spaces and observable algebras are constructed on globally hyperbolic spacetimes with timelike boundary, under a partially proven assumption on the existence of Green operators.

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