Holographic complexity and two identities of action growth

DOI10.1016/J.PHYSLETB.2017.04.011zbMATH Open1370.83054arXiv1611.02321OpenAlexW2557703411WikidataQ58663924 ScholiaQ58663924MaRDI QIDQ2404696

Author name not available (Why is that?)

Publication date: 19 September 2017

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1611.02321

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