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Entanglement Island and Page Curve in Wedge Holography

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arxiv 2301.06285 v2 pith:22AFJQ3N submitted 2023-01-16 hep-th gr-qc

Rong-Xin Miao This is my paper · ORCID
classification hep-thgr-qc
keywords entanglementgravityislandsmasslessholographyblackbranepage
verification ladder T0 review T1 audit T2 compute T3 formal
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Entanglement islands play an essential role in the recent breakthrough in resolving the black hole information paradox. However, whether entanglement islands can exist in massless gravity theories is controversial. It is found that entanglement islands disappear in the initial model of wedge holography with massless gravity on the brane. As a result, the entanglement entropy of Hawking radiation becomes a time-independent constant, and there is no Page curve. In this paper, we recover massless entanglement islands in wedge holography with suitable DGP gravity or higher derivative gravity on the branes. We study two typical cases. In the first case, we consider a black hole on the strong-gravity brane and a bath on the weak-gravity brane. It is similar to the usual double holography with non-gravitational baths. In the second case, we discuss two black holes on the two branes with the same gravitational strength. We recover massless entanglement islands and non-trivial Page curves in both cases. We also argue that the entanglement island is consistent with massless gravity. Our results strongly support that entanglement islands can exist in long-range theories of gravity.

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Cited by 3 Pith papers

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

  1. 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.

  2. Island of acoustic black hole in Schwarzschild spacetime

    hep-th 2025-12 conditional novelty 4.0 of 10

    For a Schwarzschild-surrounded acoustic black hole, phonon entanglement entropy follows a Page curve in the non-extremal case but diverges (no Page time) in the extremal case, according to the island formula.

  3. Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity

    hep-th 2025-01 conditional novelty 4.0 of 10

    In JT gravity toy models, late-time modular entropy and capacity of entanglement scale inversely with n times the inverse temperature, supporting a thermal reading of the replica parameter.

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