Holographic correlation functions in Critical Gravity

Abstract

We compute the holographic stress tensor and the logarithmic energy-momentum tensor of Einstein-Weyl gravity at the critical point. This computation is carried out performing a holographic expansion in a bulk action supplemented by the Gauss-Bonnet term with a fixed coupling. The renormalization scheme defined by the addition of this topological term has the remarkable feature that all Einstein modes are identically cancelled both from the action and its variation. Thus, what remains comes from a nonvanishing Bach tensor, which accounts for non-Einstein modes associated to logarithmic terms which appear in the expansion of the metric. In particular, we compute the holographic $1$-point functions for a generic boundary geometric source.

21 pages, no figures,extended discussion on two-point functions, final version to appear in JHEP

References in corpus (22)

• A Stress Tensor for Anti-de Sitter Gravity
• Massive Gravity in Three Dimensions
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Logarithmic Operators in Conformal Field Theory
• Critical Gravity in Four Dimensions
• Einstein Gravity from Conformal Gravity
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Logarithmic Operators and Hidden Continuous Symmetry in Critical Disordered Models
• Mass, Angular Momentum and Thermodynamics in Four-Dimensional Kerr-AdS Black Holes
• Topological regularization and self-duality in four-dimensional anti-de Sitter gravity
• Conformal Gravity and Extensions of Critical Gravity
• Consistent boundary conditions for cosmological topologically massive gravity at the chiral point
• From conformal to Einstein Gravity
• AdS Waves as Exact Solutions to Quadratic Gravity
• D-Dimensional Log Gravity
• Modes of Log Gravity
• Massive, Topologically Massive, Models
• Holographic Renormalization of New Massive Gravity
• Ghosts of Critical Gravity
• Holographic two-point functions for 4d log-gravity
• Renormalized AdS action and Critical Gravity
• Noether-Wald energy in Critical Gravity

Cited by in corpus (8)

• Einstein Gravity from Conformal Gravity in 6D
• Energy in Higher-Derivative Gravity via Topological Regularization
• Noether-Wald charges in six-dimensional Critical Gravity
• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Topological invariants and the definition of energy in quadratic gravity theory
• Noether-Wald energy in Critical Gravity
• Black Hole Energy in Lovelock Unique Vacuum theories