Holography in Lovelock Chern-Simons AdS Gravity

Abstract

We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity in higher dimensions using first order formalism. We first find asymptotic symmetries in the AdS sector showing that they consist of local translations, local Lorentz rotations, dilatations and non-Abelian gauge transformations. Then, we compute $1$-point functions of energy-momentum and spin currents in a dual conformal field theory and write Ward identities. We find that the holographic theory possesses Weyl anomaly and also breaks non-Abelian gauge symmetry at the quantum level.

arXiv commentLATEX, 22 pages, no figures; v3 redaction improved, references added; v4 minor revisions

References in corpus (35)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• A Stress Tensor for Anti-de Sitter Gravity
• Building an AdS/CFT superconductor
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• A semi-classical limit of the gauge/string correspondence
• From AdS/CFT correspondence to hydrodynamics
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Black Hole Scan
• Quantum effective action from the AdS/CFT correspondence
• The Lovelock Black Holes
• Holographic Lovelock Gravities and Black Holes
• Causality in AdS/CFT and Lovelock theory
• The dynamical structure of higher dimensional Chern-Simons theory
• Universal regularization prescription for Lovelock AdS gravity
• The portrait of eikonal instability in Lovelock theories
• Eikonal instability of Gauss-Bonnet-(anti-)de Sitter black holes
• Noether's Second Theorem and Ward Identities for Gauge Symmetries
• A Lovelock black hole bestiary
• Counterterms in Dimensionally Continued AdS Gravity
• Lovelock theory and the AdS/CFT correspondence
• Dynamical structure of Pure Lovelock gravity
• Counterterms and dual holographic anomalies in CS gravity
• Holographic currents in first order Gravity and finite Fefferman-Graham expansions
• Stability and existence analysis of static black holes in pure Lovelock theories
• The CFT dual of AdS gravity with torsion
• Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
• Holography in 3D AdS gravity with torsion
• Couplings between Chern-Simons gravities and 2p-branes
• Stable p-branes in Chern-Simons AdS supergravities
• Variational Methods in AdS/CFT
• Black hole solutions in Chern-Simons AdS supergravity
• 5D Lovelock gravity: new exact solutions with torsion
• Torsional degrees of freedom in AdS4/CFT3

Cited by in corpus (10)

• Regularized Lovelock gravity
• Symmetry algebra in gauge theories of gravity
• Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
• Black holes with topological charges in Chern-Simons AdS${}_5$ supergravity
• Asymptotic symmetries and geometry on the boundary in the first order formalism
• Conical defects and holography in topological AdS gravity
• Holographic Aspects of Even-Dimensional Topological Gravity
• Boundary terms, branes and AdS/BCFT in first-order gravity
• A note on the Hamiltonian structure of transgression forms
• The role of torsion in holographic conductivity