Covariant Constraints on Hole-ography

Understand

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 screens.
• These screens admit a holographic interpretation in terms of the Bousso bound.