Renormalized AdS action and Critical Gravity

Abstract

It is shown that the renormalized action for AdS gravity in even spacetime dimensions is equivalent -on shell- to a polynomial of the Weyl tensor, whose first non-vanishing term is proportional to $Wey{l}^2$. Remarkably enough, the coupling of this last term coincides with the one that appears in Critical Gravity.

15 pages, references added, version accepted to JHEP

References in corpus (8)

• Critical Gravity in Four Dimensions
• Einstein Gravity from Conformal Gravity
• Critical Points of D-Dimensional Extended Gravities
• AdS Waves as Exact Solutions to Quadratic Gravity
• D-Dimensional Log Gravity
• Modes of Log Gravity
• Ghosts of Critical Gravity
• Holographic two-point functions for 4d log-gravity

Cited by in corpus (6)

• From conformal to Einstein Gravity
• AdS-plane wave and pp-wave solutions of generic gravity theories
• On the Supersymmetric Extension of Gauss-Bonnet like Gravity
• Stress Tensor on Null Boundaries
• Holographic Two-Point Functions in Conformal Gravity
• Holographic correlation functions in Critical Gravity