Aros, R.Díaz, D. E.2013-10-222016-05-242013-10-222016-05-242012Journal of Physics A: Mathematical and Theoretical. Volume 45. Number 12. March 2012.http://repositorio.unab.cl/xmlui/handle/ria/1931Indexación: IOP ScienceWe present a holographic formula relating functional determinants: the fermion determinant in the one-loop effective action of bulk spinors in an asymptotically locally AdS background, and the determinant of the two-point function of the dual operator at the conformal boundary. The formula originates from AdS/CFT heuristics that map a quantum contribution in the bulk partition function to a subleading large-N contribution in the boundary partition function. We use this holographic picture to address questions in spectral theory and conformal geometry. As an instance, we compute the type-A Weyl anomaly and the determinant of the iterated Dirac operator on round spheres, express the latter in terms of Barnes’ multiple gamma function and gain insight into a conjecture by B¨ar and Schopka.enHolographic derivationDirac operatorWeyl anomalyArtículo