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

Bhattacharya, A and Bhattacharyya, A and Nandy, P and Patra, AK (2021) Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model. In: Journal of High Energy Physics, 2021 (5).

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Official URL: https://doi.org/10.1007/JHEP05(2021)135


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. © 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 Authors
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 19 Aug 2021 09:51
Last Modified: 19 Aug 2021 09:51
URI: http://eprints.iisc.ac.in/id/eprint/69258

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