Shape dependence of renormalized holographic entanglement entropy

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dc.contributor.authorAnastasiou, G.
dc.contributor.authorMoreno, J.
dc.contributor.authorOlea, R.
dc.contributor.authorRivera-Betancour, D.
dc.date.accessioned2021-08-13T14:57:43Z
dc.date.available2021-08-13T14:57:43Z
dc.date.issued2020-09
dc.descriptionIndexación: Scopus.es
dc.description.abstractWe study the holographic entanglement entropy of deformed entangling regions in three-dimensional CFTs dual to Einstein-AdS gravity, using a renormalization scheme based on the addition of extrinsic counterterms. In this prescription, when even- dimensional manifolds are considered, the universal contribution to the entanglement entropy is identified as the renormalized volume of the Ryu-Takayanagi hypersurface, which is written as the sum of a topological and a curvature term. It is shown that the change in the renormalized entanglement entropy due to the deformation of the entangling surface is encoded purely in the curvature contribution. In turn, as the topological part is given by the Euler characteristic of the Ryu-Takayanagi surface, it remains shape independent. Exploiting the covariant character of the extrinsic counterterms, we apply the renormalization scheme for the case of deformed entangling regions in AdS4/CFT3, recovering the results found in the literature. Finally, we provide a derivation of the relation between renormalized entanglement entropy and Willmore energy. The presence of a lower bound of the latter makes manifest the relation between the AdS curvature of the Ryu-Takayanagi surface and the strong subadditivity property. © 2020, The Author(s).es
dc.description.urihttps://link-springer-com.recursosbiblioteca.unab.cl/article/10.1007%2FJHEP09%282020%29173
dc.identifier.citationJournal of High Energy PhysicsOpen AccessVolume 2020, Issue 91 September 2020 Article number 173es
dc.identifier.doi10.1007/JHEP09(2020)173
dc.identifier.issn1029-8479
dc.identifier.urihttp://repositorio.unab.cl/xmlui/handle/ria/19835
dc.language.isoenes
dc.publisherSpringer Science and Business Media Deutschland GmbHes
dc.rights.licenseAttribution 4.0 International (CC BY 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectAdS-CFT Correspondencees
dc.subjectGauge-gravity correspondencees
dc.titleShape dependence of renormalized holographic entanglement entropyes
dc.typeArtículoes
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