Covariant Constraints on Hole-ography

@article{Engelhardt2015CovariantCO,
  title={Covariant Constraints on Hole-ography},
  author={Netta Engelhardt and Sebastian Fischetti},
  journal={arXiv: High Energy Physics - Theory},
  year={2015}
}
Hole-ography is a prescription relating the areas of surfaces in an AdS bulk to the differential entropy of a family of intervals in the dual CFT. In (2+1) bulk dimensions, or in higher dimensions when the bulk features a sufficient degree of symmetry, we prove that there are surfaces in the bulk that cannot be completely reconstructed using known hole-ographic approaches, even if extremal surfaces reach them. Such surfaces lie in easily identifiable regions: the interiors of holographic… 
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