The holographic principle asserts that the complete description of the interior of a sphere is a theory which not only lives on the surface of the sphere, but also has $A/4$ binary degrees of freedom. In this context we revisit the question of whether AdS/CFT is fully holographic. We construct states which are localized deep in the interior yet are encoded on short scales in the conformal field theory, seemingly in conflict with the UV/IR prescription. We make a proposal to address the more basic question of which conformal field theory states are sufficient to describe physics within a certain region of the bulk.

• Received 20 September 2013

DOI:https://doi.org/10.1103/PhysRevD.89.106004