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.
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Acknowledgments
We would like to thank Stefano Baiguera, José Barbón, Roberto Emparan, Hao Geng, Filip Landgren, Andrea Legramandi, Dominik Neuenfeld, Andrew Svesko, and Watse Sybesma for several discussions and useful correspondence, and Pratik Nandy and Martin Sasieta for collaboration in the early stages of this project. The work of SEAG is partially supported by the FWO Research Project G0H9318N and the inter-university project iBOF/21/084. AKP and JFP are supported by the ‘Atracción de Talento’ program (Comunidad de Madrid) grant 2020-T1/TIC-20495, by the Spanish Research Agency via grants CEX2020-001007-S and PID2021-123017NB-I00, funded by MCIN/AEI/10.13039/501100011033, and by ERDF A way of making Europe. SEAG further acknowledges the Instituto de Física Teórica UAM/CSIC, the University of Amsterdam, and the Delta Institute for Theoretical Physics for their hospitality and support during various stages of the project.
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Aguilar-Gutierrez, S.E., Patra, A.K. & Pedraza, J.F. Entangled universes in dS wedge holography. J. High Energ. Phys. 2023, 156 (2023). https://doi.org/10.1007/JHEP10(2023)156
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DOI: https://doi.org/10.1007/JHEP10(2023)156