On Renyi entropy for free conformal fields: Holographic and q-analog recipes
dc.contributor.author | Aros, R. | |
dc.contributor.author | Bugini, F. | |
dc.contributor.author | Diaz, D.E. | |
dc.date.accessioned | 2023-07-10T14:20:12Z | |
dc.date.available | 2023-07-10T14:20:12Z | |
dc.date.issued | 2015-03 | |
dc.description | Indexación: Scopus | es |
dc.description.abstract | We 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.uri | 10.1088/1751-8113/48/10/105401 | |
dc.description.uri | https://iopscience-iop-org.recursosbiblioteca.unab.cl/article/10.1088/1751-8113/48/10/105401 | |
dc.identifier.citation | Journal of Physics A: Mathematical and Theoretical Volume 48, Issue 1013 March 2015 Article number 105401 | es |
dc.identifier.doi | 10.1088/1751-8113/48/10/105401 | |
dc.identifier.issn | 1751-8113 | |
dc.identifier.uri | https://repositorio.unab.cl/xmlui/handle/ria/51484 | |
dc.language.iso | en | es |
dc.publisher | Institute of Physics Publishing | es |
dc.rights.license | Attribution 3.0 Unported (CC BY 3.0) | |
dc.rights.uri | ||
dc.rights.uri | https://creativecommons.org/licenses/by/3.0/ | |
dc.subject | entanglement | es |
dc.subject | holography | es |
dc.subject | Renyi entropy | es |
dc.title | On Renyi entropy for free conformal fields: Holographic and q-analog recipes | es |
dc.type | Artículo | es |
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