Pith. sign in

REVIEW 10 cited by

Replica Wormholes and Entanglement Islands in the Karch-Randall Braneworld

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2405.14872 v2 pith:33C2PKIV submitted 2024-05-23 hep-th gr-qchep-ph

Hao Geng This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords surfacebathbranehawkingkarch-randallquantumradiationambient
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

The Karch-Randall braneworld provides a natural set-up to study the Hawking radiation from a black hole using holographic tools. Such a black hole lives on a brane and is highly quantum yet has a holographic dual as a higher dimensional classical theory that lives in the ambient space. Moreover, such a black hole is coupled to a nongravitational bath which is absorbing its Hawking radiation. This allows us to compute the entropy of the Hawking radiation by studying the bath using the quantum extremal surface prescription. The quantum extremal surface geometrizes into a Ryu-Takayanagi surface in the ambient space. The topological phase transition of the Ryu-Takayanagi surface in time from connecting different portions of the bath to the one connecting the bath and the brane gives the Page curve of the Hawking radiation that is consistent with unitarity. Nevertheless, there doesn't exit a derivation of the quantum extremal surface prescription and its geometrization in the Karch-Randall braneworld. In this paper, we fill this gap. We mainly focus on the case that the ambient space is (2+1)-dimensional for which explicit computations can be done in each description of the set-up. We show that the topological phase transition of the Ryu-Takayanagi surface corresponds to the formation of the replica wormhole on the Karch-Randall brane as the dominate contribution to the replica path integral. For higher dimensional situations, we show that the geometry of the brane satisfies Einstein's equation coupled with conformal matter. We comment on possible implications to the general rule of gravitational path integral from this equation.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Algebras, Entanglement Islands, and Observers

    hep-th 2025-06 conditional novelty 6.0 of 10

    Entanglement islands in the AdS/bath island model realize the quantum-gravity 'observer' as a Goldstone vector mode, making the island operator algebra an emergent Type II∞ von Neumann algebra.

  2. It from ETH: Multi-interval Entanglement and Replica Wormholes from Large-$c$ BCFT Ensemble

    hep-th 2025-05 conditional novelty 6.0 of 10

    The RT formula for entanglement in AdS3/CFT2, including phase transitions and multi-interval vacuum entropies, is derived from an assumed large-c ensemble of (B)CFT data, under the 'It from ETH' paradigm.

  3. The Mechanism behind the Information Encoding for Islands

    hep-th 2025-02 conditional novelty 6.0 of 10

    Island information is encoded in the bath because island operators are gravitationally dressed to the bath via the massive-graviton Stückelberg field, realized as Wilson lines in the Karch-Randall braneworld.

  4. Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff

    hep-th 2025-01 conditional novelty 6.0 of 10

    For holography with a finite ETW-brane cutoff, entanglement wedge nesting requires the two intervals' RT surfaces to be spacelike separated, a condition stronger than spacelike separation of the intervals themselves.

  5. Wedge Holographic Complexity in Karch-Randall Braneworld

    hep-th 2024-12 conditional novelty 6.0 of 10

    For a wedge black string with fluctuating branes, the Complexity=Action growth rate gains a constant edge-mode term while Complexity=Volume gains a fluctuation-squared correction, breaking the naive equivalence of the...

  6. New insights on mutual information in the island approach to the Page curve

    hep-th 2026-07 conditional novelty 5.0 of 10

    At scrambling time I(B+:B−)=0 forces I(I:R)→∞, interpreted as conservation of geometric correlation, while I(I:R+:R−) is shown always negative via Cauchy-slice identities.

  7. On the Underlying Nonrelativistic Nature of Relativistic Holography

    hep-th 2025-02 conditional novelty 5.0 of 10

    Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.

  8. The entropy of radiation for local quenches in higher dimensions

    hep-th 2025-01 conditional novelty 5.0 of 10

    For local quenches in d>2 CFTs, the excess entanglement entropy of radiation grows as ξ^{d/2} at early and late times, obeys an all-time relative-entropy bound, and the holographic model produces a Page-like curve.

  9. Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy

    hep-th 2024-11 conditional novelty 5.0 of 10

    Reflected entropy in T-bar-T-deformed AdS3/BCFT2 computed via island and defect extremal surface prescriptions agrees at leading order in the cutoff, and its Page curves show a discontinuity at the Page time.

  10. Building an AdS/BCFT Josephson junction within Horndeski gravity

    hep-th 2025-10 reject novelty 4.0 of 10

    AdS/BCFT with Horndeski gravity is claimed to yield Josephson junctions whose phase and current depend on the Horndeski couplings, but the condensate and critical temperature are put in by hand.

Pith tools