Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all

Vista sencilla de ítem
dc.contributor.authorBugini, F.
dc.contributor.authorDiaz, D. E.
dc.date.accessioned2023-07-28T19:25:14Z
dc.date.available2023-07-28T19:25:14Z
dc.date.issued2019-02-01
dc.descriptionIndexación Scopuses
dc.description.abstractThe holographic Weyl anomaly for GJMS operators (or conformal powers of the Laplacian) are obtained in four and six dimensions. In the context of AdS/CFT correspondence, free conformal scalars with higher-derivative kinetic operators are induced by an ordinary second-derivative massive bulk scalar. At one-loop quantum level, the duality dictionary for partition functions entails an equality between the functional determinants of the corresponding kinetic operators and, in particular, it provides a holographic route to their Weyl anomalies. The heat kernel of a single bulk massive scalar field encodes the Weyl anomaly (type-A and type-B) coefficients for the whole tower of GJMS operators whenever they exist, as in the case of Einstein manifolds where they factorize into product of Laplacians. While a holographic derivation of the type-A Weyl anomaly was already worked out some years back, in this note we compute holographically (for the first time to the best of our knowledge) the type-B Weyl anomaly for the whole family of GJMS operators in four and six dimensions. There are two key ingredients that enable this novel holographic derivation that would be quite a daunting task otherwise: (i) a simple prescription for obtaining the holographic Weyl anomaly for higher-curvature gravities, previously found by the authors, that allows to read off directly the anomaly coefficients from the bulk action; and (ii) an implied WKB-exactness, after resummation, of the heat kernel for the massive scalar on a Poincaré-Einstein bulk metric with an Einstein metric on its conformal infinity. The holographically computed Weyl anomaly coefficients are explicitly verified on the boundary by exploiting the factorization of GJMS operators on Einstein manifolds and working out the relevant heat kernel coefficient.es
dc.identifier.citationJournal of High Energy Physics Volume 2019, Issue 2 1 February 2019 Article number 188es
dc.identifier.doi10.1007/JHEP02(2019)188en
dc.identifier.issn11266708
dc.identifier.urihttps://repositorio.unab.cl/xmlui/handle/ria/52098
dc.language.isoenes
dc.publisherJournal of High Energy Physicses
dc.rights.licenseAtribución 4.0 Internacional (CC BY 4.0)en
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed.esen
dc.subjectAdS-CFT Correspondencees
dc.subjectAnomalies in Field and String Theorieses
dc.subjectConformal and W Symmetryes
dc.titleHolographic Weyl anomaly for GJMS operators: one Laplacian to rule them alles
dc.typeArtículoes
Archivos
Bloque original
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
Holographic-Weyl-anomaly-for-GJMS-operators-one-Laplacian-to-rule-them-allJournal-of-High-Energy-Physics.pdf
Tamaño:
362.27 KB
Formato:
Adobe Portable Document Format
Descripción:
TEXTO COMPLETO EN INGLÉS
Descargar
Bloque de licencias
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
license.txt
Tamaño:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descripción:
Descargar
Colecciones
FCE - Artículos de Revista