3-12 May 2019
Museum Casa de los Árabes
Cuba timezone
New deadline for the submission of proceedings: November 15, 2019

One-loop divergences in 7D Einstein and 6D conformal gravities

7 May 2019, 14:30
20m
Museum Casa de los Árabes

Museum Casa de los Árabes

Ofícios 16, Havana 10100, Old Havana
Talk STARS

Speaker

Danilo Diaz (Universidad Andrés Bello)

Description

Within the context of AdS/CFT Correspondence, we first compute one-loop infrared (IR) divergences of 7D Einstein Gravity in a certain Poincaré-Einstein background metric. We compute then the one-loop ultraviolet (UV) divergences of 6D Conformal Gravity on the boundary. We verify the equality of the above results that stems 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 boundary Einstein metric and WKB-exactness of the Einstein graviton in the chosen 7D Poincaré-Einstein background.
In all, 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.

Primary author

Danilo Diaz (Universidad Andrés Bello)

Co-authors

Presentation Materials