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Partial islands and subregion complexity in geometric secret-sharing model

Bhattacharya, A and Bhattacharyya, A and Nandy, P and Patra, AK (2021) Partial islands and subregion complexity in geometric secret-sharing model. In: Journal of High Energy Physics, 2021 (12).

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Official URL: https://doi.org/10.1007/JHEP12(2021)091


We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the �complexity = volume� proposal. The model is constructed using multiboundary wormhole geometries in AdS3. The entanglement curve for secret-sharing captures a crossover between two minimal curves in the geometry apart from the usual eternal Page curve present for the complete radiation entanglement. We compute the complexity dual to the secret-sharing minimal surfaces and study their �time� evolution. When we have access to a small part of the radiation, the complexity shows a jump at the secret-sharing time larger than the Page time. Moreover, the minimal surfaces do not have access to the entire island region for this particular case. They can only access it partially. We describe this inaccessibility in the context of �classical� Markov recovery. © 2021, The Author(s).

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to the Author.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 05 Jan 2022 06:32
Last Modified: 05 Jan 2022 06:32
URI: http://eprints.iisc.ac.in/id/eprint/70893

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