Bulk Emergence and the RG Flow of Entanglement Entropy

Understand

We further develop perturbative methods used to calculate entanglement entropy (EE) away from an interacting CFT fixed point.

• At second order we find certain universal terms in the renormalized EE which were predicted previously from holography and which we find hold universally for relevant deformations of any CFT in any dimension.
• We use both replica methods and direct methods to calculate the EE and in both cases find a non-local integral expression involving the CFT two point function.
• We show that this integral expression can be written as a local integral over a higher dimensional \emph{bulk} modular hamiltonian in an emergent $AdS$ space-time.