Causality & holographic entanglement entropy

@article{Headrick2014CausalityH,
  title={Causality \& holographic entanglement entropy},
  author={Matthew Headrick and Veronika E. Hubeny and Albion Lawrence and Mukund Rangamani},
  journal={Journal of High Energy Physics},
  year={2014},
  volume={2014},
  pages={1-36}
}
A bstractWe identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy prescription (which relates entanglement entropy of a given spatial region on the boundary to the area of a certain extremal surface in the bulk) obeys these conditions, as long as the bulk obeys the null energy condition. While necessary for the validity… 
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