Holographic complexity in dSd+1

Jørstad, Eivind; Myers, Robert C.; Ruan, Shan-Ming

doi:10.1007/jhep05(2022)119

Cited by 33 publications

(44 citation statements)

References 82 publications

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“…Finally, one hope is that two-dimensional cosmological models, like the one studied in this paper, will be useful to better understand the holographic principle in cosmology. In particular, it is not completely understood how holographic properties like entanglement wedge reconstruction, quantum error correction and probes like quantum chaos [64][65][66] and complexity [67,68] manifest themselves in de Sitter space. We believe two-dimensional gravity will play a key role in answering these questions.…”

Section: Discussionmentioning

confidence: 99%

The price of curiosity: information recovery in de Sitter space

Aalsma

Sybesma

2021

J. High Energ. Phys.

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Recent works have revealed that quantum extremal islands can contribute to the fine-grained entropy of black hole radiation reproducing the unitary Page curve. In this paper, we use these results to assess if an observer in de Sitter space can decode information hidden behind their cosmological horizon. By computing the fine-grained entropy of the Gibbons-Hawking radiation in a region where gravity is weak we find that this is possible, but the observer’s curiosity comes at a price. At the same time the island appears, which happens much earlier than the Page time, a singularity forms which the observer will eventually hit. We arrive at this conclusion by studying de Sitter space in Jackiw-Teitelboim gravity. We emphasize the role of the observer collecting radiation, breaking the thermal equilibrium studied so far in the literature. By analytically solving for the backreacted geometry we show how an island appears in this out-of-equilibrium state.

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Section: Discussionmentioning

confidence: 99%

The price of curiosity: information recovery in de Sitter space

Aalsma

Sybesma

2021

J. High Energ. Phys.

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“…More recently, the effects of quantum backreaction were accounted for in these braneworld scenarios in the context of the quantum BTZ black hole [80], with the 'complexity=volume' being considerably more favorable over the 'complexity=action' scenario. Thus far, however, little attention has been given to studying complexity in de Sitter space (see, e.g., [81][82][83]). It would be very interesting to see whether the braneworld setup developed here could be used to efficiently study the aforementioned proposals in a quantum de Sitter background where backreaction effects are incorporated, analogous to the qBTZ analysis [80].…”

Section: Discussionmentioning

confidence: 99%

Black holes in dS$_3$

Pedraza¹,

Svesko²,

Tomašević³

et al. 2022

Preprint

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In three-dimensional de Sitter space classical black holes do not exist, and the Schwarzschild-de Sitter solution instead describes a conical defect with a single cosmological horizon. We argue that the quantum backreaction of conformal fields can generate a black hole horizon, leading to a three-dimensional quantum de Sitter black hole. Its size can be as large as the cosmological horizon in a Nariai-type limit. We show explicitly how these solutions arise using braneworld holography, but also compare to a non-holographic, perturbative analysis of backreaction due to conformally coupled scalar fields in conical de Sitter space. We analyze the thermodynamics of this quantum black hole, revealing it behaves similarly to its classical four-dimensional counterpart, where the generalized entropy replaces the classical Bekenstein-Hawking entropy. We compute entropy deficits due to nucleating the three-dimensional black hole and revisit arguments for a possible matrix model description of dS spacetimes. Finally, we comment on the holographic dual description for dS spacetimes as seen from the braneworld perspective.

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“…Finally, it would be interesting to consider the higher-dimensional case. Holographic complexities in dS d computed from the stretched horizon were recently considered in [20]. In the case of the centaur, the flows from dS d to AdS d cannot be supported by matter obeying the null-energy condition [21].…”

Section: Pos(corfu2021)359mentioning

confidence: 99%

Geodesics, complexity and holography in (A)dS_2

Galante¹

2022

Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2021)

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We consider spacelike geodesics in two-dimensional spacetimes. In the case of the AdS 2 black hole, their length increases linearly with time for long times, compared to the inverse temperature. In dS 2 , spacelike geodesics anchored at the same time, only exist at t = 0. To interpret this result holographically, we embed a patch of dS 2 inside an AdS 2 spacetime. In that case, geodesics only exist for a time of order the inverse temperature and their length decreases with time. We comment on possible implications of this result in terms of two-point correlators and holographic complexity.

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Holographic complexity in dSd+1

Cited by 33 publications

References 82 publications

The price of curiosity: information recovery in de Sitter space

The price of curiosity: information recovery in de Sitter space

Black holes in dS$_3$

Geodesics, complexity and holography in (A)dS_2

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