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Holographic entanglement from the UV to the IR
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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.
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Geometric Entropies and their Hamiltonian Flows
In JT gravity with higher-derivative scalar couplings, the geometric entropy flow generalizes the BCP kink transformation by adding delta-function singularities in the dilaton and matter fields.
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