Renormalized holographic entanglement entropy in Lovelock gravity
arXiv:2103.14640 · doi:10.1007/JHEP06(2021)073
Abstract
We study the renormalization of Entanglement Entropy in holographic CFTs dual to Lovelock gravity. It is known that the holographic EE in Lovelock gravity is given by the Jacobson-Myers (JM) functional. As usual, due to the divergent Weyl factor in the Fefferman-Graham expansion of the boundary metric for Asymptotically AdS spaces, this entropy functional is infinite. By considering the Kounterterm renormalization procedure, which utilizes extrinsic boundary counterterms in order to renormalize the on-shell Lovelock gravity action for AAdS spacetimes, we propose a new renormalization prescription for the Jacobson-Myers functional. We then explicitly show the cancellation of divergences in the EE up to next-to-leading order in the holographic radial coordinate, for the case of spherical entangling surfaces. Using this new renormalization prescription, we directly find the function candidates for odd and even dimensional CFTs dual to Lovelock gravity. Our results illustrate the notable improvement that the Kounterterm method affords over other approaches, as it is non-perturbative and does not require that the Lovelock theory has limiting Einstein behavior.
arXiv comment38 pages,no figures, One reference added
References in corpus (55)
- Gauge Theory Correlators from Non-Critical String Theory
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Towards a derivation of holographic entanglement entropy
- Generalized gravitational entropy
- Holographic c-theorems in arbitrary dimensions
- Viscosity Bound Violation in Higher Derivative Gravity
- Entropy of Lovelock Black Holes
- Seeing a c-theorem with holography
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
- Holographic GB gravity in arbitrary dimensions
- Holographic Entanglement Entropy for General Higher Derivative Gravity
- supersymmetric indices and the four-dimensional A-model
- Entanglement entropy: holography and renormalization group
- Generalized entropy and higher derivative Gravity
- Holographic Calculations of Renyi Entropy
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Holographic studies of quasi-topological gravity
- Holographic Entanglement Entropy in Lovelock Gravities
- Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
- Universality of corner entanglement in conformal field theories
- Entanglement Entropy, Trace Anomalies and Holography
- Distributional Geometry of Squashed Cones
- Mass, Angular Momentum and Thermodynamics in Four-Dimensional Kerr-AdS Black Holes
- Holographic Lovelock Gravities and Black Holes
- Regularization of odd-dimensional AdS gravity: Kounterterms
- Universal regularization prescription for Lovelock AdS gravity
- On generalized gravitational entropy, squashed cones and holography
- Entanglement entropy in higher derivative holography
- Entanglement entropy across a deformed sphere
- Lovelock theories, holography and the fate of the viscosity bound
- Holographic studies of Einsteinian cubic gravity
- On black strings & branes in Lovelock gravity
- Lovelock theory and the AdS/CFT correspondence
- On entanglement entropy functionals in higher derivative gravity theories
- Universality of squashed-sphere partition functions
- Higher Order Corrections to Holographic Black Hole Chemistry
- Counterterms, Kounterterms, and the variational problem in AdS gravity
- Dirichlet boundary value problem for Chern-Simons modified gravity
- Einstein-AdS action, renormalized volume/area and holographic Renyi entropies
- Mass in Lovelock Unique Vacuum gravity theories
- Partition functions on slightly squashed spheres and flux parameters
- Universal Kounterterms in Lovelock AdS gravity
- Topological terms, AdS_2n gravity and renormalized Entanglement Entropy of holographic CFTs
- L^2 curvature and volume renormalization of AHE metrics on 4-manifolds
- Renormalization of Entanglement Entropy from topological terms
- Holographic entanglement entropy for perturbative higher-curvature gravities
- Vacuum Degeneracy and Conformal Mass in Lovelock AdS Gravity
- Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
- Shape dependence of renormalized holographic entanglement entropy
- Renormalized holographic entanglement entropy for Quadratic Curvature Gravity
- Conical defects and holography in topological AdS gravity
Cited by in corpus (8)
- On the classification of Generalized Quasitopological Gravities
- Peeking into the vacuum
- CFT correlators from shape deformations in Cubic Curvature Gravity
- Universal renormalization procedure for higher curvature gravities in D5
- -functions in Higher-derivative Flows Across Dimensions
- A study about black hole solutions with nonconstant transversal curvature and its conserved charges in Lovelock gravity
- Thin shell dynamics in Lovelock gravity
- Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows