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Bath deformations, islands and holographic complexity

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arxiv 2112.06967 v2 pith:BLHRFM7T submitted 2021-12-13 hep-th gr-qc

Aranya Bhattacharya , Arpan Bhattacharyya , Pratik Nandy , Ayan K. Patra This is my paper · ORCID
classification hep-thgr-qc
keywords complexityholographicbathdeformationsdiscontinuityoperatorperturbationrelevant
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Considering a doubly holographic model, we study the evolution of holographic subregion complexity corresponding to deformations of bath state by a relevant scalar operator, which corresponds to a renormalization group flow from the AdS-Schwarzschild to the Kasner universe in the bulk. The subregion complexity shows a discontinuous jump at Page time at a fixed perturbation, where the discontinuity depends solely on the system's parameters. We show that the amount of discontinuity decreases with the perturbation as well as with the scaling dimension of the relevant scalar operator.

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  1. 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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