Lifshitz Gravity for Lifshitz Holography

Abstract

We argue that Horava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and dynamical exponent z. First we show that Lifshitz spacetimes are vacuum solutions of HL gravity, without need for additional matter. Then we perform holographic renormalization of HL gravity, and show how it reproduces the full structure of the z=2 anisotropic Weyl anomaly in dual field theories in 2+1 dimensions, while its minimal relativistic gravity counterpart yields only one of two independent central charges in the anomaly.

9 pages

References in corpus (24)

• Quantum Gravity at a Lifshitz Point
• The Holographic Weyl anomaly
• Lecture Notes on Holographic Renormalization
• Gravity Duals of Lifshitz-like Fixed Points
• Membranes at Quantum Criticality
• On the Holographic Renormalization Group
• A healthy extension of Horava gravity
• Non-relativistic holography
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Correlation Functions in Holographic RG Flows
• The Holographic Renormalization Group
• Holographic stress tensor for non-relativistic theories
• AdS/CFT correspondence and Geometry
• Holography for asymptotically locally Lifshitz spacetimes
• General Covariance in Gravity at a Lifshitz Point
• Conformal Lifshitz Gravity from Holography
• Non-relativistic holography from Horava gravity
• Anisotropic Conformal Infinity
• Anomalous Breaking of Anisotropic Scaling Symmetry in the Quantum Lifshitz Model
• Hamilton-Jacobi Renormalization for Lifshitz Spacetime
• Holographic Renormalization for Asymptotically Lifshitz Spacetimes
• Holographic Renormalization Group
• String theory embeddings of non-relativistic field theories and their holographic Horava gravity duals
• Holographic Renormalization for z=2 Lifshitz Space-Times from AdS

Cited by in corpus (105)

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• Hořava Gravity at a Lifshitz Point: A Progress Report
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• Lifshitz Space-Times for Schroedinger Holography
• Circular geodesics of Bardeen and Ayon-Beato-Garcia regular black-hole and no-horizon spacetimes
• Non-Relativistic Chern-Simons Theories and Three-Dimensional Horava-Lifshitz Gravity
• Non-relativistic holography from Horava gravity
• Lifshitz holography: The whole shebang
• Review on Non-Relativistic Gravity
• Scalar Field Theories with Polynomial Shift Symmetries
• Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
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• Circular geodesics of naked singularities in the Kehagias-Sfetsos metric of Hořava's gravity
• Conductivities for Hyperscaling Violating Geometries
• Optical effects related to Keplerian discs orbiting Kehagias-Sfetsos naked singularities
• Emergent Lorentz invariance from Strong Dynamics: Holographic examples
• One-loop renormalization in a toy model of Horava-Lifshitz gravity
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
• Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
• Causality and black holes in spacetimes with a preferred foliation
• Lifshitz as a deformation of Anti-de Sitter
• Universal horizons and black holes in gravitational theories with broken Lorentz symmetry
• Lifshitz Scale Anomalies
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Universal horizons in maximally symmetric spaces
• Lifshitz Holography with Isotropic Scale Invariance
• Non-Relativistic Scale Anomalies
• Heat kernel methods for Lifshitz theories
• Extended phase-space analysis of the Horava-Lifshitz cosmology
• Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
• Torsional Newton-Cartan Geometry and the Schrödinger Algebra
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• A Schrödinger approach to Newton-Cartan and Hořava-Lifshitz gravities
• Horava-Lifshitz Black Hole Hydrodynamics
• Lifshitz Anomalies, Ward Identities and Split Dimensional Regularization
• Geometrizing non-relativistic bilinear deformations
• Homogeneous Nonrelativistic Geometries as Coset Spaces
• Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
• Conformally Lifshitz solutions from Horava-Lifshitz Gravity
• Matrix Theory Reloaded: A BPS Road to Holography
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Perfect fluid tori orbiting Kehagias-Sfetsos naked singularities
• Weyl holographic superconductor in the Lifshitz black hole background
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Hawking Radiation from Universal Horizons
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• On the first law of black holes with a universal horizon
• Entanglement and mutual information in two-dimensional nonrelativistic field theories
• Asymptotically Lifshitz spacetimes with universal horizons in $(1+2)$ dimensions
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
• Extended analysis for the Evolution of the Cosmological history in Einstein-aether Scalar Field theory
• Asymptotically hyperbolic black holes in Horava gravity
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Holographic subdiffusion
• Lifshitz holographic superconductor in Horava-Lifshitz gravity
• Thermal geometry from CFT at finite temperature
• Holographic quenches towards a Lifshitz point
• Topolgical Charged Black Holes in Generalized Horava-Lifshitz Gravity
• Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories
• GR 20 Parallel Session A3: Modified Gravity
• Scalar fields and Lifshitz black holes from Derrick's theorem evasion
• Wormholes in Horava gravity with cosmological constant
• Holographic Mutual and Tripartite Information in a Symmetry Breaking Quench
• Hořava's quantum gravity illustrated by embedding diagrams of the Kehagias-Sfetsos spacetimes
• Universal features of Lifshitz Green's functions from holography
• Exponential nonlinear electrodynamics and backreaction effects on Holographic superconductor in the Lifshitz black hole background
• New Heat Kernel Method in Lifshitz Theories
• Lorentz Invariance in Shape Dynamics
• Fidelity susceptibility for Lifshitz geometries via Lifshitz Holography
• Topological invariants of the Ryu-Takayanagi ($RT$) surface used to observe holographic superconductor phase transition
• Constructing entanglement wedges for Lifshitz spacetimes with Lifshitz gravity
• Holographic Entanglement Entropy in NMG
• Topological Non-Fermi Liquid
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
• Several integrals of quaternionic field on hyperbolic matrix space
• Non-Local Deformation of a Supersymmetric Field Theory
• Crystalline geometries from fermionic vortex lattice with hyperscaling violation
• Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
• Dispersion relations in non-relativistic two-dimensional materials from quasinormal modes in Hořava Gravity
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
• Charged Lifshitz black holes from general covariance breaking
• Analysis of s-wave, p-wave and d-wave holographic superconductors in Hořava-Lifshitz gravity
• Bose-Einstein condensation in Hořava-Lifshitz theory
• New Asymptotically Lifshitz Black Holes in Horava gravity
• Effects of high-order operators in non-relativistic Lifshitz holography
• Anisotropic Weyl invariance
• Symmetries and Couplings of Non-Relativistic Electrodynamics
• Holography and $Ad{S}_2$ gravity with a dynamical aether
• Scalar Boundary Conditions in Lifshitz Spacetimes
• Hamiltonian analysis for Lifshitz type Fields
• Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons
• Electric-magnetic duality in linearized Hořava-Lifshitz gravity
• Contracted Lorentz invariance for gravity with a preferred foliation
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Local renormalization group functions from quantum renormalization group and holographic bulk locality
• Quantization of the anisotropic conformal Horava theory
• Exact analytic solutions in 2+1 Hořava gravity with cosmological constant
• Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence
• Evolving Horava Cosmological Horizons
• Renormalization Group Flows in Non-Relativistic Holographic Effective Field Theories
• Hyperscaling violating Lifshitz holography