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Main Authors: Aguilar-Gutierrez, Sergio E., Landgren, Filip
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2311.02074
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author Aguilar-Gutierrez, Sergio E.
Landgren, Filip
author_facet Aguilar-Gutierrez, Sergio E.
Landgren, Filip
contents We construct a multiverse model where empty AdS$_{d+1}$ space is cut off by a pair of accelerated dS$_d$ space universes, at a finite AdS boundary cutoff which we treat as a $T^2$ deformation in the holographic dual, and one in the AdS interior, the IR brane{; and denote the construction as $T^2$ dS wedge holography}. We glue together several copies of this configuration along the UV cutoff and the IR branes in a periodic matter. To provide the model with dynamics similar to those of near Nariai black holes used in other multiverse toy models{, we specialize to $d=2$ and} add dS JT gravity as an intrinsic gravity theory on the IR branes. We then study the entanglement entropy with respect to a finite cutoff observer, who finds a Page curve transition due to an entanglement island connecting the UV cutoff and IR brane. This process involves the coarse-graining of information outside the causally accessible region to the observer. Our model provides an explicit realization of entanglement between IR and UV degrees of freedom encoded in the multiverse.
format Preprint
id arxiv_https___arxiv_org_abs_2311_02074
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A multiverse model in $T^2$ dS wedge holography
Aguilar-Gutierrez, Sergio E.
Landgren, Filip
High Energy Physics - Theory
We construct a multiverse model where empty AdS$_{d+1}$ space is cut off by a pair of accelerated dS$_d$ space universes, at a finite AdS boundary cutoff which we treat as a $T^2$ deformation in the holographic dual, and one in the AdS interior, the IR brane{; and denote the construction as $T^2$ dS wedge holography}. We glue together several copies of this configuration along the UV cutoff and the IR branes in a periodic matter. To provide the model with dynamics similar to those of near Nariai black holes used in other multiverse toy models{, we specialize to $d=2$ and} add dS JT gravity as an intrinsic gravity theory on the IR branes. We then study the entanglement entropy with respect to a finite cutoff observer, who finds a Page curve transition due to an entanglement island connecting the UV cutoff and IR brane. This process involves the coarse-graining of information outside the causally accessible region to the observer. Our model provides an explicit realization of entanglement between IR and UV degrees of freedom encoded in the multiverse.
title A multiverse model in $T^2$ dS wedge holography
topic High Energy Physics - Theory
url https://arxiv.org/abs/2311.02074