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Time-evolution of the holographic entanglement entropy and metric perturbationst

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Abstract

We study the holographic entanglement entropy under small deformations of anti-de Sitter (AdS) spacetime, including its time-dependence. Through perturbative analysis, the divergent terms are found not to be affected, and the change appears only in the finite terms. We also consider the entanglement thermodynamic first law, calculate the entanglement temperature, and confirm that it is inversely proportional to the size of the entangling region.

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Authors and Affiliations

  1. Department of Physics and Research Institute of Basic Science, Kyung Hee University, Seoul, 02447, Korea

    Nakwoo Kim & Jung Hun Lee

  2. School of Physics, Korea Institute for Advanced Study, Seoul, 02455, Korea

    Nakwoo Kim

Authors
  1. Nakwoo Kim
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  2. Jung Hun Lee
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Correspondence to Nakwoo Kim.

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Kim, N., Lee, J.H. Time-evolution of the holographic entanglement entropy and metric perturbationst. Journal of the Korean Physical Society 69, 623–631 (2016). https://doi.org/10.3938/jkps.69.623

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  • DOI: https://doi.org/10.3938/jkps.69.623

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