Functional determinants of radial operators in AdS 2

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dc.contributor.authorAguilera-Damia, Jeremías
dc.contributor.authorFaraggi, Alberto
dc.contributor.authorZayas, Leopoldo Pando
dc.contributor.authorRathee, Vimal
dc.contributor.authorSilva, Guillermo A.
dc.date.accessioned2022-08-01T21:42:33Z
dc.date.available2022-08-01T21:42:33Z
dc.date.issued2018-06
dc.descriptionIndexación Scopuses
dc.description.abstractWe study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean AdS2 space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal AdS2 geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic 14 -BPS latitude Wilson loop. © 2018, The Author(s).es
dc.description.urihttps://link-springer-com.recursosbiblioteca.unab.cl/article/10.1007/JHEP06(2018)007
dc.identifier.citationJournal of High Energy Physics Volume 2018, Issue 61 June 2018 Article number 7es
dc.identifier.doi10.1007/JHEP06(2018)007
dc.identifier.issn11266708
dc.identifier.urihttps://repositorio.unab.cl/xmlui/handle/ria/23397
dc.language.isoenes
dc.publisherSpringer Verlages
dc.rights.licenseCC BY 4
dc.subjectWilson Loopes
dc.subjectGauge Theoryes
dc.subjectSupergravityes
dc.subject1/N Expansiones
dc.subjectAdS-CFT Correspondencees
dc.subjectSupersymmetric Gauge Theoryes
dc.subject’t Hooft and Polyakov loopses
dc.titleFunctional determinants of radial operators in AdS 2es
dc.typeArtículoes
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