On Renyi entropy for free conformal fields: Holographic and q-analog recipes

dc.contributor.authorAros, R.
dc.contributor.authorBugini, F.
dc.contributor.authorDiaz, D.E.
dc.date.accessioned2023-07-10T14:20:12Z
dc.date.available2023-07-10T14:20:12Z
dc.date.issued2015-03
dc.descriptionIndexación: Scopuses
dc.description.abstractWe describe a holographic approach to explicitly computing the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres. This holographic derivation proceeds in two steps: first, following Casini and Huerta, a conformal mapping to thermal entropy in a hyperbolic geometry; then identification of the hyperbolic geometry with the conformal boundary of a bulk hyperbolic space and use of an AdS/CFT holographic formula to compute the resultant functional determinant. We explicitly verify the connection with the type-A trace anomaly for the entanglement entropy, whereas the Renyi entropy is computed with the aid of the Sommerfeld formula in order to deal with a conical defect. We show that as a by-product, the log coefficient of the Renyi entropy for round spheres can be efficiently obtained as the q-analog of a procedure similar to the one found by Cappelli and D'Appollonio that rendered the type-A trace anomaly. © 2015 IOP Publishing Ltd.es
dc.description.uri10.1088/1751-8113/48/10/105401
dc.description.urihttps://iopscience-iop-org.recursosbiblioteca.unab.cl/article/10.1088/1751-8113/48/10/105401
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical Volume 48, Issue 1013 March 2015 Article number 105401es
dc.identifier.doi10.1088/1751-8113/48/10/105401
dc.identifier.issn1751-8113
dc.identifier.urihttps://repositorio.unab.cl/xmlui/handle/ria/51484
dc.language.isoenes
dc.publisherInstitute of Physics Publishinges
dc.rights.licenseAttribution 3.0 Unported (CC BY 3.0)
dc.rights.uri
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/
dc.subjectentanglementes
dc.subjectholographyes
dc.subjectRenyi entropyes
dc.titleOn Renyi entropy for free conformal fields: Holographic and q-analog recipeses
dc.typeArtículoes
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