Counterterms, Kounterterms, and the variational problem in AdS gravity

Giorgos Anastasiou, Olivera Miskovic, Rodrigo Olea, Ioannis Papadimitriou

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

25 Citas (Scopus)


We 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.

Idioma originalInglés
Número de artículo61
PublicaciónJournal of High Energy Physics
EstadoPublicada - 1 ago. 2020

Áreas temáticas de ASJC Scopus

  • Física nuclear y de alta energía


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