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.

arXiv comment15 pages, references added, version accepted to JHEP

References in corpus (19)

• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• Making the Case for Conformal Gravity
• Critical Gravity in Four Dimensions
• Einstein Gravity from Conformal Gravity
• A class of elementary particle models without any adjustable real parameters
• Critical Points of D-Dimensional Extended Gravities
• Mass, Angular Momentum and Thermodynamics in Four-Dimensional Kerr-AdS Black Holes
• Topological regularization and self-duality in four-dimensional anti-de Sitter gravity
• Regularization of odd-dimensional AdS gravity: Kounterterms
• Conformal Gravity and Extensions of Critical Gravity
• Bending AdS Waves with New Massive Gravity
• AdS Waves as Exact Solutions to Quadratic Gravity
• D-Dimensional Log Gravity
• Modes of Log Gravity
• All unitary cubic curvature gravities in D dimensions
• Ghosts of Critical Gravity
• Holographic two-point functions for 4d log-gravity
• Critical Higher Order Gravities in Higher Dimensions

Cited by in corpus (26)

• From conformal to Einstein Gravity
• Magnetic Mass in 4D AdS Gravity
• AdS-plane wave and pp-wave solutions of generic gravity theories
• Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections
• Einstein-AdS action, renormalized volume/area and holographic Renyi entropies
• Generalized supersymmetric cosmological term in N=1 Supergravity
• On the supersymmetry invariance of flat supergravity with boundary
• On the Supersymmetric Extension of Gauss-Bonnet like Gravity
• Topological terms, AdS_2n gravity and renormalized Entanglement Entropy of holographic CFTs
• Energy in Higher-Derivative Gravity via Topological Regularization
• Conformal renormalization of scalar-tensor theories
• Stress Tensor on Null Boundaries
• Noether-Wald charges in six-dimensional Critical Gravity
• Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
• Renormalization of Entanglement Entropy from topological terms
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Shape dependence of renormalized holographic entanglement entropy
• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• Topological invariants and the definition of energy in quadratic gravity theory
• Noether-Wald energy in Critical Gravity
• Holographic Two-Point Functions in Conformal Gravity
• $Q$-curvature and gravity
• Non-relativistic gravity theories in four spacetime dimensions
• Holographic correlation functions in Critical Gravity
• A study about black hole solutions with nonconstant transversal curvature and its conserved charges in Lovelock gravity
• Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields