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BCFT in a Black Hole Background: An Analytical Holographic Model

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arxiv 2209.02074 v1 pith:ZMXIKFKZ submitted 2022-09-05 hep-th

Hao Geng , Lisa Randall , Erik Swanson This is my paper · ORCID
classification hep-th
keywords entanglementanalyticalbackgroundblackfieldphasetheorybcft
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study the entanglement phase structure of a holographic boundary conformal field theory (BCFT) in a two-dimensional black hole background. The bulk dual is the AdS$_3$ black string geometry with a Karch-Randall brane. We compute the subregion entanglement entropy of various two-sided bipartitions to elucidate the phase space where a Page curve exists in this setup. We do fully analytical computations on both the gravity side and the field theory side and demonstrate that the results precisely match. We discuss the entanglement phase structure describing where a Page curve exists in this geometry in the context of these analytical results. This is a useful model to study entanglement entropy for quantum field theory on a curved background.

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Cited by 6 Pith papers

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  1. Charged rotating quantum black holes

    hep-th 2025-06 conditional novelty 6.0 of 10

    A charged, rotating quantum BTZ black hole is built from the AdS C-metric, and charge or spin is shown to remove the neutral-static case's re-entrant phase transitions, whose critical exponents are computed as (0, 1, 2, 3).

  2. 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...

  3. 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.

  4. 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.

  5. Scalar-gravitational quasinormal modes and echoes in a five dimensional thick brane

    gr-qc 2025-08 conditional novelty 4.0 of 10

    Scalar perturbations of a split five-dimensional thick brane yield long-lived quasinormal modes and position-dependent echo waveforms: clean periodic echoes on a sub-brane and modulated echoes between sub-branes.

  6. Holographic Complexity as a Probe of Boundary Entropy in AdS/BCFT

    hep-th 2026-08 reject novelty 3.0 of 10

    Relative complexity in AdS/BCFT is claimed to equal boundary entropy log g divided by pi hbar, but the equality is built into the renormalization counterterm.

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