Topological regularization and self-duality in four-dimensional anti-de Sitter gravity
arXiv:0902.2082 · doi:10.1103/PhysRevD.79.124020
Abstract
It is shown that the addition of a topological invariant (Gauss-Bonnet term) to the anti-de Sitter (AdS) gravity action in four dimensions recovers the standard regularization given by holographic renormalization procedure. This crucial step makes possible the inclusion of an odd parity invariant (Pontryagin term) whose coupling is fixed by demanding an asymptotic (anti) self-dual condition on the Weyl tensor. This argument allows to find the dual point of the theory where the holographic stress tensor is related to the boundary Cotton tensor as , which has been observed in recent literature in solitonic solutions and hydrodynamic models. A general procedure to generate the counterterm series for AdS gravity in any even dimension from the corresponding Euler term is also briefly discussed.
13 pages, no figures; enlarged discussion on self-duality condition for AAdS spacetimes, references added, final version for PRD
References in corpus (10)
- Setting the boundary free in AdS/CFT
- Regularization of odd-dimensional AdS gravity: Kounterterms
- Universal regularization prescription for Lovelock AdS gravity
- Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
- On boundary conditions in three-dimensional AdS gravity
- Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
- Energy-momentum/Cotton tensor duality for AdS4 black holes
- Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary
- Gravity in the 3+1-Split Formalism I: Holography as an Initial Value Problem
- Holographic Aspects of Electric-Magnetic Dualities
Cited by in corpus (98)
- Einstein Gravity from Conformal Gravity
- Flat holography and Carrollian fluids
- A note on the novel 4D Einstein-Gauss-Bonnet gravity
- Black Holes in Bi-scalar Extensions of Horndeski Theories
- Strong gravitational lensing of a 4-dimensional Einstein-Gauss-Bonnet black hole in homogeneous plasma
- Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space
- From conformal to Einstein Gravity
- Thin Accretion Disk around a four-dimensional Einstein-Gauss-Bonnet Black Hole
- A Comment on Kerr-CFT and Wald Entropy
- Non-geodesic motion in gravity with non-minimal coupling
- Conformal and Einstein gravity from twistor actions
- Holographic Renormalization in Teleparallel Gravity
- Actions, topological terms and boundaries in first order gravity: A review
- Scalar perturbations on the background of Kerr black holes in the quadratic dynamical Chern-Simons gravity
- Topological Terms and the Misner String Entropy
- Quantum Statistical Relation for black holes in nonlinear electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity
- On higher derivative gravity, c-theorems and cosmology
- Magnetic Mass in 4D AdS Gravity
- Einstein supergravity amplitudes from twistor-string theory
- Einstein Gravity from Conformal Gravity in 6D
- Yang-Mills Instantons from Gravitational Instantons
- Gravitational geons in asymptotically anti-de Sitter spacetimes
- Renormalized AdS action and Critical Gravity
- Incompressible Navier-Stokes Equations from Einstein Gravity with Chern-Simons Term
- Einstein-AdS action, renormalized volume/area and holographic Renyi entropies
- Topological parameters in gravity
- Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
- Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
- Null paths on a toroidal topological black hole in conformalWeyl gravity
- On the Ghost Problem of Conformal Gravity
- Some Aspects of Holst and Nieh-Yan Terms in General Relativity with Torsion
- Conformal Mass in AdS gravity
- Twistor actions for gauge theory and gravity
- Topological terms, AdS_2n gravity and renormalized Entanglement Entropy of holographic CFTs
- On the Supersymmetric Extension of Gauss-Bonnet like Gravity
- Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity
- Energy in Higher-Derivative Gravity via Topological Regularization
- Simple counterterms for asymptotically AdS spacetimes in Lovelock gravity
- Conformal renormalization of scalar-tensor theories
- Noether-Wald charges in six-dimensional Critical Gravity
- Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
- Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics
- AdS supergravity, holography and Ward identities
- Renormalization of Entanglement Entropy from topological terms
- Generalized AdS-Lorentz deformed supergravity on a manifold with boundary
- A note about a pure spin-connection formulation of General Relativity and spin-2 duality in (A)dS
- Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
- Surprises in Lorentzian path-integral of Gauss-Bonnet gravity
- Gravitational instantons with conformally coupled scalar fields
- Shape dependence of renormalized holographic entanglement entropy
- Conserved charges in asymptotically de Sitter spacetimes
- Renormalized holographic entanglement entropy for Quadratic Curvature Gravity
- Topological invariants and the definition of energy in quadratic gravity theory
- Thermodynamics of charged and accelerating black holes
- Holographic Two-Point Functions in Conformal Gravity
- Noether-Wald energy in Critical Gravity
- Near horizon gravitational charges
- Conformal Renormalization of topological black holes in AdS
- Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
- Some cosmological models coming from gravitational theories having torsional degrees of freedom
- Holographic renormalization of Horndeski gravity
- Noether and Belinfante corrected types of currents for perturbations in the Einstein-Gauss-Bonnet gravity
- Gravity waves in parity-violating Copernican Universes
- Chern-Simons action and the Carrollian Cotton tensors
- Energy functionals from Conformal Gravity
- Extended Thermodynamics of Self-Gravitating Skyrmions
- Universal renormalization procedure for higher curvature gravities in D5
- Holographic correlation functions in Critical Gravity
- Slow-rotating charged black hole solution in dynamical Chern-Simons modified gravity
- Non-relativistic gravity theories in four spacetime dimensions
- Higher-curvature generalization of Eguchi-Hanson spaces
- Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes
- Euclidean AdS wormholes and gravitational instantons in the Einstein-Skyrme theory
- Radiation in Fluid/Gravity and the Flat Limit
- Conformal Tensors via Lovelock Gravity
- The Robinson-Trautman spacetime and its holographic fluid
- Chiral anomalies in black hole spacetimes
- Inhomogeneous metrics on complex bundles in Lovelock gravity
- Gravitational duality, topologically massive gravity and holographic fluids
- AdS Chern-Simons Gravity induces Conformal Gravity
- On Classical Equivalence Between Noncritical and Einstein Gravity : The AdS/CFT Perspectives
- Higher-Derivative Supergravity, AdS Holography, and Black Holes
- Extremal Black Holes, Stueckelberg Scalars and Phase Transitions
- Energy of anti-de Sitter black holes in odd-dimensional Quadratic Curvature Gravity
- Constraint Analysis of Two-Dimensional Quadratic Gravity from BF Theory
- Comments On Torsion and MacDowell-Mansouri gravity
- Constant curvature black holes in Einstein AdS gravity: conserved quantities
- Constant curvature black holes in Einstein AdS gravity: Euclidean action and thermodynamics
- Non-Abelian black holes in conformal gravity
- Thermodynamics of spinning AdS4 black holes in gauged supergravity
- Self duality in unconventional conformal supersymmetry
- The entropy of Taub-Bolt-AdS from an improved action principle
- Vacuum energy in Kerr-AdS black holes
- On the geometric approach to the boundary problem in supergravity
- Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields
- Holographic Weyl Anomaly and Kounterterms in AdS gravity
- Nonperfect Carrollian Fluids Through Holography
- Dirac-Born-Infeld Counter-Term and Black Hole Thermodynamics