Entangled universes in dS wedge holography

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 branes 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.

Binary AdS black holes coupled to a bath in Type IIB

“…Conversely, it would be interesting to study aspects which have been studied recently in bottom-up models in the top-down models, e.g. additional information-theoretic quantities [53][54][55][56][57][58][59][60][61][62][63], charged black holes [64][65][66][67], connections to bootstrap conditions [68][69][70][71][72][73] and effective brane description [74][75][76][77][78][79][80][81], more general dynamics [82][83][84][85][86], and connections to de Sitter space and cosmology [87][88][89][90][91][92][93][94][95][96][97].…”

Casimir effect and holographic dual of wedges

“…On the other hand, we investigate the holographic dual of the wedge in AdS/BCFT [17]. 1 See [18][19][20][21][22][23][24][25][26][27] for some recent developments of AdS/BCFT and its generalizations. Constructing the holographic dual of a BCFT with a fixed boundary shape in flat space is a non-trivial problem.…”