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Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model

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arxiv 2103.15852 v2 pith:TJEQBP6G submitted 2021-03-29 hep-th gr-qc

Aranya Bhattacharya , Arpan Bhattacharyya , Pratik Nandy , Ayan K. Patra This is my paper · ORCID
classification hep-thgr-qc
keywords blackcomplexityentanglementholeeternalleftpageradiation
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abstract

We study the entanglement islands and subsystem volume complexity corresponding to the left/ right entanglement of a conformal defect in $d$-dimensions in Randall-Sundrum (RS) braneworld model with subcritical tension brane. The left and right modes of the defect mimic the eternal black hole and radiation system respectively. Hence the entanglement entropy between the two follows an eternal black hole Page curve which is unitarity compatible. We compute the volumes corresponding to the left and right branes with preferred Ryu-Takanayagi (RT) surfaces at different times, which provide a probe of the subregion complexity of the black hole and the radiation states respectively. An interesting jump in volume is found at Page time, where the entanglement curve is saturated due to the inclusion of the island surfaces. We explain various possibilities of this phase transition in complexity at Page time and argue how these results match with a covariant proposal qualitatively.

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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. 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.

  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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