Lifshitz holography

Abstract

In this article we review recent progress on the holographic modelling of field theories with Lifshitz symmetry. We focus in particular on the holographic dictionary for Lifshitz backgrounds - the relationship between bulk fields and boundary operators, operator correlation functions and underlying geometrical structure. The holographic dictionary is essential in identifying the universality class of strongly coupled Lifshitz theories described by gravitational models.

58 pages; invited topical review for Classical and Quantum Gravity; v2 references and comments added (published version)

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• Revisiting non-relativistic limits
• Lifshitz holography: The whole shebang
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• Special limits and non-relativistic solutions
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• On the thermodynamics of Lifshitz black holes
• Torsional Newton-Cartan Geometry and the Schrödinger Algebra
• Generalized dilatation operator method for non-relativistic holography
• Complex Entangling Surfaces for AdS and Lifshitz Black Holes?
• Entanglement thermodynamics for an excited state of Lifshitz system
• Lifshitz flows in IIB and dual field theories
• Hidden horizons in non-relativistic AdS/CFT
• Holographic Renormalization for Fermions in Real Time

Cited by in corpus (147)

• Hořava Gravity at a Lifshitz Point: A Progress Report
• Entanglement Entropy in Flat Holography
• Holographic Thermodynamics Requires a Chemical Potential for Color
• Perfect Fluids
• Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Non-Relativistic Chern-Simons Theories and Three-Dimensional Horava-Lifshitz Gravity
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Aspects of Nonrelativistic Strings
• Breaking the sound barrier in AdS/CFT
• Spatially isotropic homogeneous spacetimes
• Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension
• Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
• Chasing the cuprates with dilatonic dyons
• Generalized Gravitational Entropy for Warped Anti-de Sitter Space
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Holographic approach to compact stars and their binary mergers
• Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography
• Analytic black branes in Lifshitz-like backgrounds and thermalization
• Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance
• On aspects of 2-dim dilaton gravity, dimensional reduction and holography
• Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
• Heat kernel methods for Lifshitz theories
• Three-dimensional Maxwellian extended Bargmann supergravity
• Holographic Equilibration of Nonrelativistic Plasmas
• Superintegrable relativistic systems in spacetime-dependent background fields
• Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
• Integrable systems with BMS${}_3$ Poisson structure and the dynamics of locally flat spacetimes
• Hydrodynamics without boosts
• Non-relativistic three-dimensional supergravity theories and semigroup expansion method
• Homogeneous Nonrelativistic Geometries as Coset Spaces
• Geometrizing non-relativistic bilinear deformations
• Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
• Non-Lorentzian M5-brane Theories from Holography
• Extending the scope of holographic mutual information and chaotic behavior
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• A Chern-Simons theory for dipole symmetry
• Three-dimensional exotic Newtonian gravity with cosmological constant
• Holographic Lifshitz superconductors: Analytic solution
• Hyperscaling Violating Solutions in Generalised EMD Theory
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• On the reconstruction of Lifshitz spacetimes
• Revisiting the asymptotic dynamics of General Relativity on AdS${}_3$
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region
• Lifshitz entanglement entropy from holographic cMERA
• String-Theory-Based Predictions for Nonhydrodynamic Collective Modes in Strongly Interacting Fermi Gases
• Log corrections to entropy of three dimensional black holes with soft hair
• Three-dimensional exotic Newtonian supergravity theory with cosmological constant
• Interior of helical black holes
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
• Lifshitz symmetry: Lie algebras, spacetimes and particles
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Exploring the black hole spectrum of axionic Horndeski theory
• Galilean Field Theories and Conformal Structure
• Exact holographic tensor networks for the Motzkin spin chain
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Lifshitz Scaling, Microstate Counting from Number Theory and Black Hole Entropy
• Heat kernel for Newton-Cartan trace anomalies
• Thermodynamics and transport of holographic nodal line semimetals
• Three-dimensional non-relativistic supergravity and torsion
• The group-theoretic approach to perfect fluid equations with conformal symmetry
• Massless Lifshitz Field Theory for Arbitrary $z$
• Regularized Weyl double copy
• Non-Lorentzian RG flows and Supersymmetry
• Hyperscaling violation and the shear diffusion constant
• Non-relativistic anyons from holography
• Thermoelectric Transport Coefficients from Charged Solv and Nil Black Holes
• Black hole thermodynamics from a variational principle: Asymptotically conical backgrounds
• Holographic geometry for non-relativistic systems emerging from generalized flow equations
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Holographic Consistency and the Sign of the Gauss-Bonnet Parameter
• Formation and critical dynamics of topological defects in Lifshitz holography
• Gravitational anomalies on the Newton-Cartan background
• Null Reductions of M5-Branes
• Homogeneous Solutions of Minimal Massive 3D Gravity
• Disordered quantum critical fixed points from holography
• Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography
• Scalar fields and Lifshitz black holes from Derrick's theorem evasion
• Extended Kinematical 3D Gravity Theories
• Entanglement entropy at higher orders for the states of a = 3 θ = 1 Lifshitz theory
• Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories
• BTZ black hole with KdV-type boundary conditions: Thermodynamics revisited
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• Non-relativistic gravity theories in four spacetime dimensions
• Analog spacetimes from nonrelativistic Goldstone modes in spinor condensates
• Diving inside holographic metals
• Covariant Poisson's equation in torsional Newton-Cartan gravity
• Dynamical realizations of the Lifshitz group
• Entanglement wedge method, out-of-time-ordered correlators, and pole skipping
• A Zoo of Deformed Jackiw-Teitelboim Models near Large Dimensional Black Holes
• The anisotropic chiral boson
• Charged dilaton black hole with multiple Liouville potentials and gauge fields
• A Holographic Description of Negative Energy States
• Non-Relativistic Supersymmetry on Curved Three-Manifolds
• D2-D8 system with massive strings and the Lifshitz spacetimes
• A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
• Non-equilibrium steady states in quantum critical systems with Lifshitz scaling
• Notes on hyperscaling violating Lifshitz and shear diffusion
• Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity
• Effects of hyperscaling violation and dynamical exponents on heavy quark potential and jet quenching parameter
• Holographic Complexity of Subregions in the Hyperscaling Violating Theories
• Asymptotic symmetries and geometry on the boundary in the first order formalism
• Holographic Lifshitz flows
• Holography of electrically and magnetically charged black branes
• Are there Goldstone bosons in $d\le z+1$ ?
• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Charged Lifshitz black holes from general covariance breaking
• Dynamics of the anisotropic conformal Horava theory versus its kinetic-conformal formulation
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• Anisotropic critical points from holography
• Constructing Lifshitz spaces using the Ricci flow
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes
• Symmetry breaking in holographic theories with Lifshitz scaling
• Anisotropic Weyl invariance
• Stationary Lifshitz Black Hole of New Massive Gravity
• Three-dimensional non-relativistic Hietarinta supergravity
• RG flows and cascades of $Li{f}_4^{(2)}\times S^1\times S^5$ vacua
• Canonical Formalism of Non-Relativistic Theories Coupled to Newton-Cartan Gravity
• 1/c deformations of AdS${}_3$ boundary conditions and the Dym hierarchy
• Quantum Critical Diffusion and Thermodynamics in Lifshitz Holography
• Holographic entanglement entropy for $Li{f}_4^{(2)}\times S^1\times S^5$ spacetime with string excitations
• Possible ambient kinematics
• Conformal Galilean Spin-3 Gravity in 3d
• Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
• N=1,2,3 l-conformal Galilei superalgebras
• On the applicability of holography in thermodynamic equilibrium
• Curved Corner Contribution to the Entanglement Entropy in an Anisotropic Spacetime
• Entanglement entropies of an interval in the free Schrödinger field theory at finite density
• Analytical solutions for Maxwell-scalar system on radially symmetric spacetimes
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• The Higgs mechanism and geometrical flows for two-manifolds
• Broken Lifshitz invariance, spin waves and hydrodynamics
• Gravitational quasinormal modes for Lifshitz black branes
• Strongly Interacting Fermi Gases: Hydrodynamics and Beyond
• Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence
• Flow of shear response functions in hyperscaling violating Lifshitz theories
• Weyl double copy in Lifshitz spacetimes
• Revisiting Lifshitz-type solutions in $R^2$-corrected gravity
• Extended Bargmann FDA and non-relativistic gravity
• New dynamical realizations of the Lifshitz group
• On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions
• Holographic stress tensor of colored Lifshitz spacetimes and hairy black holes
• Kasner-type singularities and solitons with Lifshitz asymptotics
• Criticality and Transport in Magnetized Holographic Systems