A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes. (1st April 2019)

• Record Type: Journal Article
• Authors: Dybalski, Wojciech; Wrochna, Michał
• Is Part Of: Classical and quantum gravity. Volume 36:Number 8(2019:Apr.)
• Publication Date: 2019-04-01
• Subjects: algebraic quantum field theory -- holography -- QFT on curved spacetimes -- asymptotically AdS spacetimes; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/ab0cb1
• Languages: English
• ISSNs: 0264-9381

Abstract

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.