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- Title
Holographic entanglement from the UV to the IR.
- Authors
Dong, Xi; Remmen, Grant N.; Wang, Diandian; Weng, Wayne W.; Wu, Chih-Hung
- Abstract
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.
- Subjects
RENORMALIZATION group; CONFORMAL field theory
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 11, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP11(2023)207