Lovelock theory and the AdS/CFT correspondence

Abstract

Lovelock theory is the natural extension of general relativity to higher dimensions. It can be also thought of as a toy model for ghost-free higher curvature corrections in gravitational theories. It admits a family of AdS vacua, which provides an appealing arena to explore different holographic aspects in a broader setup within the context of the AdS/CFT correspondence. We will elaborate on these features and review previous work concerning the constraints that Lovelock theory entails on the CFT parameters when imposing conditions like unitarity, positivity of the energy or causality.

27 pages, 3 figures, invited article for ERE2012 Special Issue on GRG

References in corpus (21)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Conformal collider physics: Energy and charge correlations
• Holographic c-theorems in arbitrary dimensions
• Viscosity Bound and Causality Violation
• Beyond eta/s = 1/4pi
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• The Lovelock Black Holes
• Higher order gravity theories and their black hole solutions
• On generalized gravitational entropy, squashed cones and holography
• Entanglement entropy in higher derivative holography
• Lovelock theories, holography and the fate of the viscosity bound
• On Conformal Field Theories With Extremal a/c Values
• Shear viscosity of CFT plasma at finite coupling
• Energy Flux Positivity and Unitarity in CFTs
• Generalized phase transitions in Lovelock gravity
• Gauge/String Duality in Confining Theories
• The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
• sQGP as hCFT
• Cosmic censorship in Lovelock theory
• Lovelock theory, black holes and holography

Cited by in corpus (36)

• Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
• Corner contributions to holographic entanglement entropy
• Holographic studies of Einsteinian cubic gravity
• On entanglement entropy functionals in higher derivative gravity theories
• Universality of squashed-sphere partition functions
• Holographic spin liquids and Lovelock Chern-Simons gravity
• Constraining gravity using entanglement in AdS/CFT
• f(Lovelock) theories of gravity
• Conditions on holographic entangling surfaces in higher curvature gravity
• Generalized phase transitions in Lovelock gravity
• Holographic stress tensor at finite coupling
• Lovelock gravities from Born-Infeld gravity theory
• Generalized Pure Lovelock Gravity
• Mass in Lovelock Unique Vacuum gravity theories
• Holographic renormalization and anisotropic black branes in higher curvature gravity
• Black holes in quasi-topological gravity and conformal couplings
• Black hole thermodynamics, conformal couplings, and R^2 terms
• Higher-derivative holography with a chemical potential
• Holographic Studies of The Generic Massless Cubic Gravities
• Probing strongly coupled anisotropic plasmas from higher curvature gravity
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Renormalized holographic entanglement entropy in Lovelock gravity
• Instability of black strings in third-order Lovelock theory
• Holography in Lovelock Chern-Simons AdS Gravity
• The Chern-Simons diffusion rate from higher curvature gravity
• Hidden Relations of Central Charges and OPEs in Holographic CFT
• Universal renormalization procedure for higher curvature gravities in D$\le$5
• Thin-shell wormholes in AdS${}_5$ and string dioptrics
• Cosmic censorship in Lovelock theory
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Are there Einsteinian gravities involving covariant derivatives of the Riemann tensor?
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• On AdS to dS transitions in higher-curvature gravity
• Scalar-hairy Lovelock gravity respects zeroth law
• The constraint equations of Lovelock gravity theories: a new ${\sigma }_k$-Yamabe problem
• Extended First Law for Entanglement Entropy in Lovelock Gravity