Counterterms, Kounterterms, and the variational problem in AdS gravity

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dc.contributor.authorAnastasiou, G.
dc.contributor.authorMiskovic, O.
dc.contributor.authorOlea, R.
dc.contributor.authorPapadimitriou, I.
dc.date.accessioned2021-09-04T01:33:30Z
dc.date.available2021-09-04T01:33:30Z
dc.date.issued2020-08
dc.descriptionIndexación: Scopus.es
dc.description.abstractWe show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the Kounterterms lead to a well posed variational problem for generic asymptotically locally AdS manifolds only in four dimensions. We determine the exact form of the counterterms for conformally flat boundaries and demonstrate that, in even dimensions, the Kounterterms take exactly the same form. This agreement can be understood as a consequence of Anderson’s theorem for the renormalized volume of conformally compact Einstein 4-manifolds and its higher dimensional generalizations by Albin and Chang, Qing and Yang. For odd dimensional asymptotically locally AdS manifolds with a conformally flat boundary, the Kounterterms coincide with the boundary counterterms except for the logarithmic divergence associated with the holographic conformal anomaly, and finite local terms. © 2020, The Author(s).es
dc.description.urihttps://link-springer-com.recursosbiblioteca.unab.cl/article/10.1007%2FJHEP08%282020%29061
dc.identifier.citationJournal of High Energy Physics Open Access Volume 2020, Issue 81 August 2020 Article number 61es
dc.identifier.doi10.1007/JHEP08(2020)061
dc.identifier.issn1126-6708
dc.identifier.urihttp://repositorio.unab.cl/xmlui/handle/ria/20114
dc.language.isoenes
dc.publisherSpringeres
dc.rights.licenseAttribution 4.0 International (CC BY 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectAdS-CFT Correspondencees
dc.subjectClassical Theories of Gravityes
dc.subjectGauge-gravity correspondencees
dc.subjectRenormalization Groupes
dc.titleCounterterms, Kounterterms, and the variational problem in AdS gravityes
dc.typeArtículoes
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