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Complexity and action for warped AdS black holes

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arxiv 1806.06216 v2 pith:WVET6OFN submitted 2018-06-16 hep-th

Roberto Auzzi , Stefano Baiguera , Matteo Grassi , Giuseppe Nardelli , Nicolo Zenoni This is my paper · ORCID
classification hep-th
keywords actioncomplexityblackconjectureholeswarpedagreementasymptotic
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abstract

The Complexity=Action conjecture is studied for black holes in Warped AdS$_3$ space, realized as solutions of Einstein gravity plus matter. The time dependence of the action of the Wheeler-DeWitt patch is investigated, both for the non-rotating and the rotating case. The asymptotic growth rate is found to be equal to the Hawking temperature times the Bekenstein-Hawking entropy; this is in agreement with a previous calculation done using the Complexity=Volume conjecture.

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Cited by 2 Pith papers

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  1. Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity

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    Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specif...

  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...

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