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Complexity in the presence of a boundary

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arxiv 1910.03489 v1 pith:YOL3F25R submitted 2019-10-08 hep-th

Paolo Braccia , Aldo L. Cotrone , Erik Tonni This is my paper · ORCID
classification hep-th
keywords complexityboundaryholographicsubregionactionanalysiscasecases
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The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual of the complexity, including the "Complexity = Volume" (CV) and "Complexity = Action" (CA) prescriptions, and in the harmonic chain with Dirichlet boundary conditions. In all the cases considered except for CA, the boundary introduces a subleading logarithmic divergence in the expansion of the complexity as the UV cutoff vanishes. Holographic subregion complexity is also explored in the CV case, finding that it can change discontinuously under continuous variations of the configuration of the subregion.

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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. Wedge Holographic Complexity in Karch-Randall Braneworld

    hep-th 2024-12 conditional novelty 6.0 of 10

    For a wedge black string with fluctuating branes, the Complexity=Action growth rate gains a constant edge-mode term while Complexity=Volume gains a fluctuation-squared correction, breaking the naive equivalence of the...

  2. Holographic Subregion Complexity in General Vaidya Geometry

    hep-th 2019-08 conditional novelty 6.0 of 10

    Holographic subregion complexity in a general Vaidya geometry grows linearly at early and intermediate times, then decreases linearly at late time for continuous transitions, with growth rates below the Lloyd bound in...

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