Aros, R.Díaz, D.E.Montecinos, A.2013-10-222016-05-242013-10-222016-05-242010Journal of Physics A: Mathematical and Theoretical, vol. 43, n° 29. 2010.DOI: 10.1088/1751-8113/43/29/295401http://repositorio.unab.cl/xmlui/handle/ria/1927Abstract We present a refinement of a recently found gauge–gravity relation between one-loop effective actions: on the gauge side, for a massive charged scalar in 2d dimensions in a constant maximally symmetric electromagnetic field; on the gravity side, for a massive spinor in d-dimensional (Euclidean) anti-de Sitter space. The inclusion of the dimensionally regularized volume of AdS leads to a complete mapping within dimensional regularization. In even-dimensional AdS, we acquire a small correction to the original proposal, whereas in dimensional AdS, the mapping is totally new and subtle, with the ‘holographic trace anomaly’ playing a crucial role.enGravedadGauge–gravity relationGravity sideGauge side - PACS numbers: 11.10.Kk, 04.62.+v, 11.15.KcArtículo© 2012 IOP Publishing