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Holographic Complexity and Two Identities of Action Growth

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arxiv 1611.02321 v2 pith:F2KCF5YR submitted 2016-11-07 hep-th gr-qc

Hyat Huang , Xing-Hui Feng , H. Lu This is my paper · ORCID
classification hep-thgr-qc
keywords actiongivengrowthstateallowsassociatedblackcalculate
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The recently proposed complexity-action conjecture allows one to calculate how fast one can produce a quantum state from a reference state in terms of the on-shell action of the dual AdS black hole at the Wheeler-DeWitt patch. We show that the action growth rate is given by the difference of the generalized enthalpy between the two corresponding horizons. The proof relies on the second identity that the surface-term contribution on a horizon is given by the product of the associated temperature and entropy.

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  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...

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