Entanglement Entropy, Trace Anomalies and Holography

Understand

The holographic representation of the entanglement entropy of four dimensional conformal field theories is studied.

• By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated.
• The same terms in the holographic representation are calculated by a method which does not require the solution of the equations of motion or a cut off.
• The two calculations disagree for rather generic geometries.