Aros, R.Bugini, F.Diaz, D.E.2023-07-102023-07-102015-03Journal of Physics A: Mathematical and Theoretical Volume 48, Issue 1013 March 2015 Article number 1054011751-8113https://repositorio.unab.cl/xmlui/handle/ria/51484Indexación: ScopusWe 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.enentanglementholographyRenyi entropyArtículoAttribution 3.0 Unported (CC BY 3.0)10.1088/1751-8113/48/10/105401