Entangled universes in dS wedge holography

TL;DR

This paper introduces a braneworld holography model with entangled universes in dS space, demonstrating emergent dS JT gravity, analyzing entanglement entropy and complexity, and reproducing the Page curve in a novel dS holographic setup.

Contribution

It develops a new dS wedge holography framework with coupled entangled universes, showing emergent dS JT gravity and analyzing quantum information measures.

Findings

Reproduces the Page curve in a dS holographic model.

Shows hyperfast complexity growth in certain proposals.

Demonstrates late-time linear complexity growth in alternative setups.

Abstract

We develop a new setting in the framework of braneworld holography to describe a pair of coupled and entangled uniformly accelerated universes. The model consists of two branes embedded into AdS space capping off the UV and IR regions, giving rise to a notion of dS wedge holography. Specializing in a three-dimensional bulk, we show that dS JT gravity can emerge as an effective braneworld theory, provided that fluctuations transverse to the brane are included. We study the holographic entanglement entropy between the branes as well as the holographic complexity within the `complexity=anything' proposal. We reproduce a Page curve with respect to an observer collecting radiation on the UV brane, as long as we take the limit where gravity decouples in that universe, thus acting as a non-gravitating bath. The Page curve emerges due to momentum-space (UV/IR) entanglement and can be understood as analogous to the `confinement-deconfinement' transition in theories with a mass gap. Moreover, the analysis of complexity shows that the hyperfast growth phenomenon is displayed within a set of proposals, while late-time linear growth can be recovered for a different set. Our framework thus provides new test grounds for understanding quantum information concepts in dS space and dS holography.