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Subsystem complexity in warped AdS

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arxiv 1906.09345 v2 pith:FGLZAZDG submitted 2019-06-21 hep-th

Roberto Auzzi , Stefano Baiguera , Arpita Mitra , Giuseppe Nardelli , Nicolo Zenoni This is my paper · ORCID
classification hep-th
keywords actioncomplexitydivergencessubregionwarpedblackcountertermdouble
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the ultraviolet divergences of holographic subregion complexity for the left and right factors of the thermofield double state in warped AdS$_3$ black holes, both for the action and the volume conjectures. Besides the linear divergences, which are also present in the BTZ black hole, additional logarithmic divergences appear. For the action conjecture, these log divergences are not affected by the arbitrarity in the length scale associated with the counterterm needed to ensure reparameterization invariance. We find that the subregion action complexity obeys the superadditivity property for the thermofield double in warped AdS$_3$, independently from the action counterterm coefficient. We study the temperature dependence of subregion complexity at constant angular momentum and we find that it is correlated with the sign of the specific heat.

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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. 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. 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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