Determinant and Weyl anomaly of Dirac operator: a holographic derivation

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dc.contributor.authorAros, R.
dc.contributor.authorDíaz, D. E.
dc.date.accessioned2013-10-22T18:50:36Z
dc.date.accessioned2016-05-24T20:18:08Z
dc.date.available2013-10-22T18:50:36Z
dc.date.available2016-05-24T20:18:08Z
dc.date.issued2012
dc.descriptionIndexación: IOP Science
dc.description.abstractWe 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.en
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical. Volume 45. Number 12. March 2012.
dc.identifier.urihttp://repositorio.unab.cl/xmlui/handle/ria/1931
dc.language.isoen
dc.subjectHolographic derivation
dc.subjectDirac operator
dc.subjectWeyl anomaly
dc.titleDeterminant and Weyl anomaly of Dirac operator: a holographic derivation
dc.typeArtículo
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