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On volume subregion complexity in Vaidya spacetime

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arxiv 1908.10832 v2 pith:SPIKF4OE submitted 2019-08-28 hep-th

classification hep-th
keywords complexitysubregionvolumefieldholographicsurfacetheoryvaidya
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abstract

We study holographic subregion volume complexity for a line segment in the AdS$_3$ Vaidya geometry. On the field theory side, this gravity background corresponds to a sudden quench which leads to the thermalization of the strongly-coupled dual conformal field theory. We find the time-dependent extremal volume surface by numerically solving a partial differential equation with boundary condition given by the Hubeny-Rangamani-Takayanagi surface, and we use this solution to compute holographic subregion complexity as a function of time. Approximate analytical expressions valid at early and at late times are derived.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Entanglement Wedge Polygon

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The paper defines the entanglement wedge polygon as the intersection of entanglement wedges external to individual homology regions and studies its topological and geometric properties in AdS examples.

  2. Holographic subregion complexity in a moving strongly coupled plasma

    hep-th 2024-12 conditional novelty 5.0 of 10

    For a boosted strongly coupled plasma in d=2,3,4, holographic subregion complexity increases with temperature, velocity, and region size, and diverges as the Lorentz factor squared, gamma^2, when velocity approaches l...

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