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On the time dependence of holographic complexity in a dynamical Einstein-dilaton model

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  • Published: 22 November 2018
  • Volume 2018, article number 138, (2018)
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On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
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  • Subhash Mahapatra1 &
  • Pratim Roy2 

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A preprint version of the article is available at arXiv.

Abstract

We study the holographic “complexity = action” (CA) and “complexity = volume” (CV) proposals in Einstein-dilaton gravity in all spacetime dimensions. We analytically construct an infinite family of black hole solutions and use CA and CV proposals to investigate the time evolution of the complexity. Using the CA proposal, we find dimensional dependent violation of the Lloyd bound in early as well as in late times. Moreover, depending on the parameters of the theory, the bound violation relative to the conformal field theory result can be tailored in the early times as well. In contrast to the CA proposal, the CV proposal in our model yields results similar to those obtained in the literature.

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  1. Department of Physics and Astronomy, National Institute of Technology Rourkela, Rourkela, 769008, India

    Subhash Mahapatra

  2. School of Physical Sciences, NISER, Bhubaneshwar, Khurda, 752050, India

    Pratim Roy

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  1. Subhash Mahapatra
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ArXiv ePrint: 1808.09917

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Mahapatra, S., Roy, P. On the time dependence of holographic complexity in a dynamical Einstein-dilaton model. J. High Energ. Phys. 2018, 138 (2018). https://doi.org/10.1007/JHEP11(2018)138

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  • Received: 04 September 2018

  • Revised: 19 October 2018

  • Accepted: 09 November 2018

  • Published: 22 November 2018

  • DOI: https://doi.org/10.1007/JHEP11(2018)138

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Keywords

  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)
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