Holographic entanglement from the UV to the IR

In AdS/CFT, observables on the boundary are invariant under renormalization group (RG) flow in the bulk. In this paper, we study holographic entanglement entropy under bulk RG flow and find that it is indeed invariant. We focus on tree-level RG flow, where massive fields in a UV theory are integrated out to give the IR theory. We explicitly show that in several simple examples, holographic entanglement entropy calculated in the UV theory agrees with that calculated in the IR theory. Moreover, we give an argument for this agreement to hold for general tree-level RG flow. Along the way, we generalize the replica method of calculating holographic entanglement entropy to bulk theories that include matter fields with nonzero spin.

Automated summary

This paper studies the invariance of holographic entanglement entropy under bulk renormalization group (RG) flow in AdS/CFT. The authors specifically focus on tree-level RG flow and provide evidence that holographic entanglement entropy calculated in the UV theory agrees with that calculated in the IR theory. They also generalize the replica method for calculating holographic entanglement entropy to include matter fields with nonzero spin.