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Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background

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arxiv 2112.09132 v1 pith:P6O763OU submitted 2021-12-16 hep-th

classification hep-th
keywords braneangleblackentanglementislandswhenexistfinite
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute holographic entanglement entropy for subregions of a BCFT thermal state living on a nongravitating black hole background. The system we consider is doubly holographic and dual to an eternal black string with an embedded Karch-Randall brane that is parameterized by its angle. Entanglement islands are conventionally expected to emerge at late times to preserve unitarity at finite temperature, but recent calculations at zero temperature have shown such islands do not exist when the brane lies below a critical angle. When working at finite temperature in the context of a black string, we find that islands exist even when the brane lies below the critical angle. We note that although these islands exist when they are needed to preserve unitarity, they are restricted to a finite connected region on the brane which we call the atoll. Depending on two parameters -- the size of the subregion and the brane angle -- the entanglement entropy either remains constant in time or follows a Page curve. We discuss this rich phase structure in the context of bulk reconstruction.

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Cited by 6 Pith papers

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

  1. 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.

  2. Islands, Double Holography, and the Entanglement Membrane

    hep-th 2024-12 conditional novelty 6.0 of 10

    A double-holographic Page curve is realized as an entanglement membrane with a vertical growing segment before the Page time and two saturated butterfly-velocity lines exiting through a boundary after it.

  3. 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...

  4. Defects extremal surfaces and interface CFTs

    hep-th 2026-07 conditional novelty 4.0 of 10

    A generalized defect-extremal-surface prescription for AdS3/ICFT2 is shown to match island-formula entropies in the large-tension limit and to produce Page curves for 2d eternal black holes.

  5. 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.

  6. Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence

    hep-th 2025-08 reject novelty 4.0 of 10

    The paper's central claim, that a Horndeski-gravity residual entropy -ξ/6 identifies smooth-interior microstates and firewalls, is an unsupported interpretation of previously derived formulas.

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