A multiverse model in T 2 dS wedge holography

Abstract

Abstract 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.

Keywords

• AdS-CFT Correspondence
• Cosmological models
• de Sitter space