A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes
Mathematical Physics
2021-04-23 v2 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.1809.05123,
title = {A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes},
author = {Wojciech Dybalski and Michał Wrochna},
journal= {arXiv preprint arXiv:1809.05123},
year = {2021}
}
Comments
v2, various corrections and improvements, submitted