Pulling the Boundary into the Bulk

Understand

Motivated by the ability to consistently apply the Ryu-Takayanagi prescription for general convex surfaces and the relationship between entanglement and geometry in tensor networks, we introduce a novel, covariant bulk object - the holographic slice.

• The holographic slice is found by considering the continual removal of short range information in a boundary state.
• It thus provides a natural interpretation as the bulk dual of a series of coarse-grained holographic states.
• The slice possesses many desirable properties that provide consistency checks for its boundary interpretation.