Replica wormholes and the black hole interior

Penington, Geoff; Shenker, Stephen H.; Stanford, Douglas; Zhang, Yang

doi:10.48550/arxiv.1911.11977

Cited by 296 publications

(974 citation statements)

References 83 publications

(256 reference statements)

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“…Replica wormhole calculations [3,43] considerably strengthen the evidence for the validity of such an island formula. It would be very interesting to derive a justification for it directly within the boundary theory, without resorting to the gravitational path integral.…”

Section: Application To the Information Paradoxmentioning

confidence: 56%

“…The most convincing argument for the Page curve in holographic theories in the literature has been derived through the use of the Euclidean gravitational path integral, by including contributions coming from nontrivial topologies [3,43]. Even for the regular quantum extremal surface formula, the Euclidean path integral is our best justification [14].…”

Section: Application To the Information Paradoxmentioning

confidence: 99%

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Nonperturbative gravity corrections to bulk reconstruction

Gesteau¹,

Kang²

2021

Preprint

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We introduce a new algebraic framework for understanding nonperturbative gravitational aspects of bulk reconstruction with a finite or infinite-dimensional boundary Hilbert space. We use relative entropy equivalence between bulk and boundary with an inclusion of nonperturbative gravitational errors, which give rise to approximate recovery. We utilize the privacy/correctability correspondence to prove that the reconstruction wedge, the intersection of all entanglement wedges in pure and mixed states, manifestly satisfies bulk reconstruction. We explicitly demonstrate that local operators in the reconstruction wedge of a given boundary region can be recovered in a state-independent way for arbitrarily large code subspaces, up to nonperturbative errors in G N . We further discuss state-dependent recovery beyond the reconstruction wedge and the use of the twirled Petz map as a universal recovery channel. We discuss our setup in the context of quantum islands and the information paradox.

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Section: Application To the Information Paradoxmentioning

confidence: 56%

Section: Application To the Information Paradoxmentioning

confidence: 99%

Nonperturbative gravity corrections to bulk reconstruction

Gesteau¹,

Kang²

2021

Preprint

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“…Two points in particular should be singled out. The first is that taking φ to be the sine-Gordon kink (11), reduces the ansatz to…”

Section: The Sine-gordon/jt Connectionmentioning

confidence: 99%

“…Spurred on by its relation to the Sachdev-Ye-Kitaev (SYK) model [8,9], JT gravity is currently enjoying a dramatic renaissance; one that has produced a slew of results on, among others, gravity as an ensemble average [10], replica wormholes [11] and potential resolutions of the information loss paradox [13]. A key feature of these new developments is the inclusion of the boundary data which encodes the Schwarzian dynamics [12] and associated chaoticity properties of the theory.…”

Section: Introductionmentioning

confidence: 99%

From Chern-Tenenblat to Jackiw-Teitelboim via sine-Gordon

Murugan¹

2022

Preprint

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The study of 2-dimensional surfaces of constant curvature constitutes a beautiful branch of geometry with well-documented ties to the mathematical physics of integrable systems. A lesser known, but equally fascinating, fact is its connection to 2-dimensional gravity; specifically Jackiw-Teitelboim (JT) gravity, where the connection manifests through a coordinate choice that roughly speaking re-casts the gravitational field equations as the sine-Gordon equation. In this language many well-known results, such as the JT-gravity black hole and its properties, were understood in terms of sine-Gordon solitons and their properties. In this brief note, we revisit these ideas in the context of some of the recent exciting developments in JT-gravity and, more generally, low-dimensional quantum gravity and speculate on how some of these new ideas may be similarly understood.

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“…Then we choose the minimum value as the fine-grained entropy of radiation. Moreover, the island formula (1.1a) can also be equivalently derived by the gravitational path integral [12,13].…”

mentioning

confidence: 99%

Island, Page Curve and Superradiance of Rotating BTZ Black Holes

Yu,

Lu,

et al. 2021

Preprint

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We study the Page curve and the information paradox for the BTZ black hole coupled to two thermal baths by applying the island paradigm. We prove that as the island locates outside the event horizon, the entanglement entropy of Hawking radiation for finite temperature black holes obeys the Page curve. However, for extremal rotating black holes, the Page time and the scrambling time become divergent. To avoid the ill-defined of the Page time, we consider the contribution of superradiance, which is a process that can extract rotational energy from black holes. The superradiance continues in a period much shorter than the Page time when the central charge c is not too large. In this process, the Page time, the scrambling time and the black hole thermal entropy all decrease. Whenever the superradiance finishes, the black hole turns out to be a neutral black hole and the Hawking radiation dominates. The Page curve can then be well reproduced.

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Replica wormholes and the black hole interior

Cited by 296 publications

References 83 publications

Nonperturbative gravity corrections to bulk reconstruction

Nonperturbative gravity corrections to bulk reconstruction

From Chern-Tenenblat to Jackiw-Teitelboim via sine-Gordon

Island, Page Curve and Superradiance of Rotating BTZ Black Holes

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