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Holographic Complexity Growth Rate in Horndeski Theory

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arxiv 1811.03303 v2 pith:B7XKWW7L submitted 2018-11-08 hep-th

classification hep-th
keywords blackcomplexityholographictheoryholeshorndeskiboundcharged
verification ladder T0 review T1 audit T2 compute T3 formal
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Based on the context of complexity = action (CA) conjecture, we calculate the holographic complexity of AdS black holes with planar and spherical topologies in Horndeski theory. We find that the rate of change of holographic complexity for neutral AdS black holes saturates the Lloyd's bound. For charged black holes, we find that there exists only one horizon and thus the corresponding holographic complexity can't be expressed as the difference of some thermodynamical potential between two horizons as that of Reissner-Nordstrom AdS black hole in Einstein-Maxwell theory. However, the Lloyd's bound is not violated for charged AdS black hole in Horndeski theory.

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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. Time dependence of complexity for Lovelock black holes

    hep-th 2019-08 conditional novelty 6.0 of 10

    For Lovelock black holes, the Complexity=Action growth rate at late times is a coupling-independent multiple of the mass, and the Schwarzschild limit is recovered only up to a constant under the authors' boundary-term...

  2. Holographic complexity of charged Taub-NUT-AdS black holes

    hep-th 2019-08 conditional novelty 6.0 of 10

    For charged Taub-NUT-AdS black holes, the late-time holographic complexity growth rate includes Misner string thermodynamic terms and the total electric charge, and adding a Maxwell boundary term with gamma=1/2 restor...

  3. AC charge transport in holographic Horndeski gravity

    hep-th 2019-08 conditional novelty 5.0 of 10

    A holographic Horndeski model is found to exhibit a temperature-driven metal-semiconductor crossover, with AC conductivity that fits the Drude formula in the slow-relaxation regime.

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