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Global properties of causal wedges in asymptotically AdS spacetimes

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Abstract

We examine general features of causal wedges in asymptotically AdS space-times and show that in a wide variety of cases they have non-trivial topology. We also prove some general results regarding minimal area surfaces on the causal wedge boundary and thereby derive constraints on the causal holographic information. We go on to demonstrate that certain properties of the causal wedge impact significantly on features of extremal surfaces which are relevant for computation of holographic entanglement entropy.

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Authors and Affiliations

  1. Centre for Particle Theory & Department of Mathematical Sciences, Science Laboratories, South Road, Durham, DH1 3LE, U.K.

    Veronika E. Hubeny & Mukund Rangamani

  2. SISSA and INFN, via Bonomea 265, 34136, Trieste, Italy

    Erik Tonni

Authors
  1. Veronika E. Hubeny
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  2. Mukund Rangamani
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  3. Erik Tonni
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Correspondence to Mukund Rangamani.

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ArXiv ePrint: 1306.4324

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Hubeny, V.E., Rangamani, M. & Tonni, E. Global properties of causal wedges in asymptotically AdS spacetimes. J. High Energ. Phys. 2013, 59 (2013). https://doi.org/10.1007/JHEP10(2013)059

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  • DOI: https://doi.org/10.1007/JHEP10(2013)059

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