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Holographic Subregion Complexity for Singular Surfaces

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arxiv 1703.03469 v1 pith:OHEDXMLF submitted 2017-03-09 hep-th

Elaheh Bakhshaei , Ali Mollabashi , Ahmad Shirzad This is my paper · ORCID
classification hep-th
keywords complexityholographicsubregionfindsingularsurfacestermsfield
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Recently holographic prescriptions are proposed to compute quantum complexity of a given state in the boundary theory. A specific proposal known as `holographic subregion complexity' is supposed to calculate the the complexity of a reduced density matrix corresponding to a static subregion. We study different families of singular subregions in the dual field theory and find the divergence structure and universal terms of holographic subregion complexity for these singular surfaces. We find that there are new universal terms, logarithmic in the UV cutoff, due to the singularities of a family of surfaces including a kink in (2+1)-dimension and cones in even dimensional field theories. We find examples of new divergent terms such as square logarithm and negative powers times the logarithm of the UV cut-off parameter.

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Cited by 3 Pith papers

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

  1. Combinatorial aspects of holographic quantum secret sharing

    hep-th 2026-07 conditional novelty 6.0 of 10

    Bulk regions in AdS3/CFT2 get a holographic secret-sharing distance d and thresholds (r,s), with r = n - d + 1; pure states satisfy s = d - 1 while mixed states can satisfy s >= d.

  2. On volume subregion complexity in Vaidya spacetime

    hep-th 2019-08 conditional novelty 6.0 of 10

    In the AdS3 Vaidya geometry, the extremal volume defining holographic subregion complexity is genuinely x-dependent during the quench, so the standard x-independent ansatz fails at intermediate times; early and late t...

  3. 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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