Lovelock theory and the AdS/CFT correspondence

2013/09/25 by Xián O. Camanho, Xian O. Camanho, José D. Edelstein +3 · 56 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Causality (physics) #Classical mechanics #Context (archaeology) #Cosmology and Gravitation Theories #Curvature #Differential geometry #Extension (predicate logic) #General relativity #Geometry #Gravitation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Theoretical physics #Unitarity #gr-qc #hep-th

paper · pdf · doi:10.1007/s10714-013-1637-3

published in General Relativity and Gravitation 46(1) (Springer Science+Business Media) · 27 pages, 3 figures, invited article for ERE2012 Special Issue on GRG

arxiv created 2013/09/25 · openalex publication_date 2013/12/18 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Generalized phase transitions in Lovelock gravity
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• Holographic c-theorems in arbitrary dimensions
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• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Viscosity bound violation in higher derivative gravity
• Viscosity Bound and Causality Violation
• Higher Order Gravity Theories and Their Black Hole Solutions
• Shear viscosity of CFT plasma at finite coupling
• Gauss-Bonnet black holes in AdS spaces
• Lovelock theory, black holes and holography
• The large N limit of superconformal field theories and supergravity

Cited by

• Inhomogeneous metrics on complex bundles in Lovelock gravity