Volume and Area Renormalizations for Conformally Compact Einstein Metrics
arXiv:math/9909042
Abstract
This article describes some geometric invariants and conformal anomalies for conformally compact Einstein manifolds and their minimal submanifolds which have recently been discovered via the Anti-de Sitter/Conformal Field Theory correspondence.
15 pages, to appear Proc. of 19th Winter School in Geometry and Physics, Srni, Czech Rep., Jan. 1999
References in corpus (3)
Cited by in corpus (44)
- Lecture Notes on Holographic Renormalization
- Thermodynamics of the brane
- Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
- Holographic Hydrodynamics with a Chemical Potential
- Topologically Massive Gravity and the AdS/CFT Correspondence
- Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
- Enhanced asymptotic symmetry algebra of AdS3
- AdS/CFT correspondence and Geometry
- Holography for asymptotically locally Lifshitz spacetimes
- Universal regularization prescription for Lovelock AdS gravity
- (A)dS in Bondi gauge
- Conformal and Einstein gravity from twistor actions
- Hairy black holes and the endpoint of AdS charged superradiance
- Ambient metrics for -dimensional -waves
- Holographic Renormalization for z=2 Lifshitz Space-Times from AdS
- Irrelevant deformations and the holographic Callan-Symanzik equation
- On the mass of static metrics with positive cosmological constant - I
- The Fefferman-Graham Ambiguity and AdS Black Holes
- Generalized entanglement entropy
- Twistor actions for gauge theory and gravity
- Holographic formula for the determinant of the scattering operator in thermal AdS
- Gravity and On-Shell Probe Actions
- Particle Number and 3D Schroedinger Holography
- The Boundary Multiplet of N=4 SU(2)xU(1) Gauged Supergravity on Asymptotically-AdS_5
- Notes on the Schwarzian tensor and measured foliations at infinity of quasifuchsian manifolds
- Extended obstruction tensors and renormalized volume coefficients
- On Holographic Weyl Anomaly
- Inverse Scattering with Partial data on Asymptotically Hyperbolic Manifolds
- Continuation unique a partir de l'infini conforme pour les metriques d'Einstein
- Some constructions of formally self-adjoint conformally covariant polydifferential operators
- Black Hole Thermodynamics, Induced Gravity and Gravity in Brane Worlds
- Monotonicity formulas for static metrics with non-zero cosmological constant
- Analyse sur un demi-espace hyperbolique et poly-homogeneite locale
- On the second variation of the Graham-Witten energy
- The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
- Fractional Laplacian in Conformal Geometry
- Normal Form for Edge Metrics
- Diabatic Limit, Eta Invariants and Cauchy-Riemann Manifolds of Dimension 3
- Universal recursive formulae for Q-curvatures
- The radiation field is a Fourier integral operator
- A nonlinear Poisson transform for Einstein metrics on product spaces
- The Rigidity and Gap Theorem for Liouville's Equation
- Constant Gaussian curvature foliations and Schläfli formulas of hyperbolic -manifolds
- Boundary Regularity for Conformally Compact Einstein Metrics in Even Dimensions