Matching one-loop divergences in 7D Einstein and 6D Conformal Gravities
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Fecha
2019-11
Profesor/a Guía
Facultad/escuela
Idioma
en
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Título del volumen
Editor
Wiley-VCH Verlag
Nombre de Curso
Licencia CC
Atribución 4.0 Internacional (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/deed.es
Resumen
Within the context of AdS/CFT correspondence, we first compute the one-loop infrared (IR) divergences of 7D Einstein gravity in a certain Poincaré-Einstein background metric. Then, we compute the one-loop ultraviolet (UV) divergences of 6D conformal gravity on the conformal boundary. We verify the equality of the above results that stem from the IR–UV connection of the duality dictionary. Key ingredients are heat kernel techniques, factorization of the boundary higher-derivative kinetic operator for the Weyl graviton on the 6D Einstein metric, and Wentzel–Kramers–Brillouin (WKB) exactness of the Einstein graviton in the chosen 7D Poincaré-Einstein background. Overall, we elucidate the way in which the 6D results containing the type-A and type-B conformal anomalies for the Weyl graviton are encoded in the 7D “hologram” given by the fluctuation determinant for the Einstein graviton. We finally discuss possible extensions to include higher-spin fields. © 2020 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Notas
Indexación: Scopus
Palabras clave
AdS/CFT correspondence, anomalies in quantum field theory
Citación
Astronomische Nachrichten Volume 340, Issue 9-10, Pages 1008 - 10121 November 2019
DOI
10.1002/asna.201913746