Holographic Axion Model: a simple gravitational tool for quantum matter

Abstract

This is a complete and exhaustive review on the so-called holographic axion model -- a bottom-up holographic system characterized by the presence of a set of shift symmetric scalar bulk fields whose profiles are taken to be linear in the spatial coordinates. This simple model implements the breaking of translational invariance of the dual field theory by retaining the homogeneity of the background geometry and therefore allowing for controllable and fast computations. The usages of this model are very vast and they are a proof of the spectacular versatility of the framework. In this review, we touch upon all the up-to-date aspects of this model from its connection with massive gravity and effective field theories, to its role in modeling momentum dissipation and elastic properties ending with all the phenomenological features and its hydrodynamic description. In summary, this is a complete guide to one of the most used model in Applied Holography and a must-read for any researcher entering this field.

Review paper published in SCIENCE CHINA Physics, Mechanics & Astronomy

References in corpus (257)

• Topological insulators and superconductors
• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• A bound on chaos
• Quasinormal modes of black holes and black branes
• A Stress Tensor for Anti-de Sitter Gravity
• Aspects of Holographic Entanglement Entropy
• Building an AdS/CFT superconductor
• Generalized Global Symmetries
• Lectures on holographic methods for condensed matter physics
• Holographic Superconductors
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• The Nernst effect in high-$T_c$ superconductors
• Holographic duality with a view toward many-body physics
• Viscosity Bound Violation in Higher Derivative Gravity
• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Transport and conservation laws
• Viscosity Bound and Causality Violation
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Non-Fermi liquids from holography
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Theory of universal incoherent metallic transport
• Lectures on hydrodynamic fluctuations in relativistic theories
• Towards strange metallic holography
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• A simple holographic model of momentum relaxation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Holographic metals and the fractionalized Fermi liquid
• Hydrodynamics of electrons in graphene
• New theories of relativistic hydrodynamics in the LHC era
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Holographic Entanglement Entropy
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Sound velocity bound and neutron stars
• Lieb-Robinson and the butterfly effect
• Electric field scaling at a B=0 metal-insulator transition in two dimensions
• Universal scaling relation in high-temperature superconductors
• Radial and elliptic flow in Pb+Pb collisions at the Large Hadron Collider from viscous hydrodynamic
• Hall conductivity from dyonic black holes
• Holographic Q-lattices
• Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
• Optical Conductivity with Holographic Lattices
• Universal Charge Diffusion and the Butterfly Effect
• Metal-insulator transition at B=0 in a dilute two dimensional GaAs-AlGaAs hole gas
• Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion
• Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
• Momentum relaxation in holographic massive gravity
• Gravity Dual of Spatially Modulated Phase
• Locally critical umklapp scattering and holography
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Momentum dissipation and effective theories of coherent and incoherent transport
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
• Holographic Lattices Give the Graviton a Mass
• The anisotropic N=4 super Yang-Mills plasma and its instabilities
• Enhanced Thermoelectric Power in Graphene: Violation of the Mott Relation By Inelastic Scattering
• Scaling theory of two-dimensional metal-insulator transitions
• Holographic striped phases
• Thermoelectric DC conductivities from black hole horizons
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Generalized global symmetries and dissipative magnetohydrodynamics
• Metal Insulator transition at B=0 in p-SiGe
• A quantum hydrodynamical description for scrambling and many-body chaos
• Black hole scrambling from hydrodynamics
• Scale-invariant magnetoresistance in a cuprate superconductor
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• Numerical Methods for Finding Stationary Gravitational Solutions
• Many-body chaos and energy dynamics in holography
• Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction
• Magnetoresistance near a quantum critical point
• An introduction to the SYK model
• Quantum corrections to eta/s
• Bounding the Space of Holographic CFTs with Chaos
• Universal origin of boson peak vibrational anomalies in ordered crystals and in amorphous materials
• Goldstone and Pseudo-Goldstone Bosons in Nuclear, Particle and Condensed-Matter Physics
• Quantum Critical Transport and the Hall Angle
• The thermoelectric properties of inhomogeneous holographic lattices
• A holographic view on physics out of equilibrium
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
• Universal holographic hydrodynamics at finite coupling
• The Ioffe-Regel criterion and diffusion of vibrations in random lattices
• Probing strongly coupled anisotropic plasma
• Thermal diffusivity and chaos in metals without quasiparticles
• Anomalous density fluctuations in a strange metal
• Strongly-coupled anisotropic gauge theories and holography
• The Shear Viscosity to Entropy Ratio: A Status Report
• Universal Diffusion in Incoherent Black Holes
• Memory matrix theory of magnetotransport in strange metals
• Holographic Chiral Magnetic Conductivity
• Holography and hydrodynamics with weakly broken symmetries
• Dissecting holographic conductivities
• Absence of disorder-driven metal-insulator transitions in simple holographic models
• Viscosity bound violation in holographic solids and the viscoelastic response
• Gapped momentum states
• Coherent/incoherent metal transition in a holographic model
• Solid Holography and Massive Gravity
• Incoherent transport in clean quantum critical metals
• A bound on the speed of sound from holography
• Metal-insulator Transition by Holographic Charge Density Waves
• Bianchi Attractors: A Classification of Extremal Black Brane Geometries
• Theory of hydrodynamic transport in fluctuating electronic charge density wave states
• Effective Field Theory for Chaotic CFTs
• Entropy production, viscosity bounds and bumpy black holes
• Anomalous Thermal Diffusivity in Underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Diffusion and Chaos from near AdS${}_2$ horizons
• Is there a "most perfect fluid" consistent with quantum field theory?
• Black hole elasticity and gapped transverse phonons in holography
• Dynamically Generated Gap from Holography: Mottness from a Black Hole
• Pinned Wigner Crystals
• Horizon constraints on holographic Green's functions
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Holographic charge density waves
• Generalized global symmetries and holography
• Shaping black holes with free fields
• Bad Metals from Fluctuating Density Waves
• A Practical Mini-Course on Applied Holography
• Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
• Charge diffusion and the butterfly effect in striped holographic matter
• Effective holographic theory of charge density waves
• Dynamical response of a pinned two-dimensional Wigner crystal
• Dynamical response of a weakly pinned two-dimensional Wigner crystal
• Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
• Conductivity of a strange metal: from holography to memory functions
• Hydrodynamic transport in strongly coupled disordered quantum field theories
• Breaking the sound barrier in AdS/CFT
• A Strongly Coupled Anisotropic Fluid From Dilaton Driven Holography
• DC Conductivity of Magnetised Holographic Matter
• The Shear Viscosity in Anisotropic Phases
• Higher derivative corrections to incoherent metallic transport in holography
• Diffusivities bounds and chaos in holographic Horndeski theories
• Intertwined order and holography: the case of the parity breaking pair density wave
• Pinning of longitudinal phonons in holographic spontaneous helices
• Scrambling in Hyperbolic Black Holes: shock waves and pole-skipping
• Shear viscosity in holography and effective theory of transport without translational symmetry
• Magnetothermoelectric Response from Holography
• On Effective Holographic Mott Insulators
• On the Chaos Bound in Rotating Black Holes
• Holography and the speed of sound at high temperatures
• A holographic perspective on phonons and pseudo-phonons
• DC and Hall conductivity in holographic massive Einstein-Maxwell-Dilaton gravity
• Holography of the Dirac Fluid in Graphene with two currents
• Conductivities for Hyperscaling Violating Geometries
• A Simple Holographic Superconductor with Momentum Relaxation
• Universal relaxation in a holographic metallic density wave phase
• Universal Properties of the Langevin Diffusion Coefficients
• Quantum Chaos in Topologically Massive Gravity
• Reflected Entropy and Entanglement Wedge Cross Section with the First Order Correction
• Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs
• Thermal diffusivity and butterfly velocity in anisotropic Q-Lattice models
• Inhomogeneity simplified
• Phases of holographic superconductors with broken translational symmetry
• Spatial Modulation and Conductivities in Effective Holographic Theories
• Gapless and gapped holographic phonons
• Magneto-transport from momentum dissipating holography
• On holographic disorder-driven metal-insulator transitions
• Shear viscosity of CFT plasma at finite coupling
• A Simple Holographic Insulator
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
• Fermionic pole-skipping in holography
• Effective actions for relativistic fluids from holography
• On the Temperature Dependence of the Shear Viscosity and Holography
• Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Holographic quantum criticality and strange metal transport
• DC Conductivities from Non-Relativistic Scaling Geometries with Momentum Dissipation
• Chasing the cuprates with dilatonic dyons
• Dispersion relations of Nambu-Goldstone modes at finite temperature and density
• Holographic Pair and Charge Density Waves
• On the Planckian bound for heat diffusion in insulators
• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Minimally packed phases in holography
• Anomalous attenuation of plasmons in strange metals and holography
• Fluctuation bounds on charge and heat diffusion
• Effective holographic theories of momentum relaxation and violation of conductivity bound
• Commensurability effects in holographic homogeneous lattices
• Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance
• Quark-Gluon Plasma at RHIC and the LHC: Perfect Fluid too Perfect?
• Holographic model for the anomalous scalings of the cuprates
• Holography, Hydrodynamization and Heavy-Ion Collisions
• Under The Dome: Doped holographic superconductors with broken translational symmetry
• On the thermodynamics of periodic AdS black branes
• Longitudinal Sound and Diffusion in Holographic Massive Gravity
• Maxwell interpolation and close similarities between liquids and holographic models
• Low frequency propagating shear waves in holographic liquids
• Thermalization and Possible Signatures of Quantum Chaos in Complex Crystalline Materials
• Higgs, Moduli Problem, Baryogenesis and Large Volume Compactifications
• Backreacted DBI Magnetotransport with Momentum Dissipation
• Holographic chiral magnetic spiral
• Commensurate lock-in in holographic non-homogeneous lattices
• Homogeneous Holographic Viscoelastic Models & Quasicrystals
• Theory of the collective magnetophonon resonance and melting of the field-induced Wigner solid
• Conformal solids and holography
• A lower bound to the thermal diffusivity of insulators
• A simple holographic model for spontaneous breaking of translational symmetry
• Holographic superconductor with momentum relaxation and Weyl correction
• A hydrodynamical description for magneto-transport in the strange metal phase of Bi-2201
• Quantum Criticality and DBI Magneto-resistance
• Holographic Plasmon Relaxation with and without Broken Translations
• Universal Formula for the Holographic Speed of Sound
• Holographic Plasmons
• Elasticity bounds from Effective Field Theory
• On the Hydrodynamic Description of Holographic Viscoelastic Models
• Mixed State Entanglement for Holographic Axion Model
• Nonlinear Oscillatory Shear Tests in Viscoelastic Holography
• Isolated zeros destroy Fermi surface in holographic models with a lattice
• Drude in D major
• Hyperscaling violating black hole solutions and Magneto-thermoelectric DC conductivities in holography
• Hydrodynamics of broken global symmetries in the bulk
• Incoherent hydrodynamics and density waves
• Holographic Spectral Functions with Momentum Relaxation
• Intertwined Orders in Holography: Pair and Charge Density Waves
• Vector vibrations and the Ioffe-Regel crossover in disordered lattices
• The Fate of the Sound and Diffusion in Holographic Magnetic Field
• Field Theory of Dissipative Systems with Gapped Momentum States
• Holographic Fermions in Striped Phases
• Strong Correlation Effects on Surfaces of Topological Insulators via Holography
• Holographic renormalization and anisotropic black branes in higher curvature gravity
• Linear-$T$ resistivity at high temperature
• Scale invariant solids
• Ward Identity and Homes' Law in a Holographic Superconductor with Momentum Relaxation
• Character of Matter in Holography: Spin-Orbit Interaction
• Non-relativistic D3-brane in the presence of higher derivative corrections
• Exotic Holographic Dispersion
• Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
• Holographic subregion complexity under thermal quench in Einstein-Maxwell-Axions theory with momentum relaxation
• The elastodynamic model of wave-telegraph type for quasicrystals
• Spectral Weight Suppression and Fermi Arc-like Features with Strong Holographic Lattices
• Holography and thermalization in optical pump-probe spectroscopy
• Strongly coupled electron fluids in the Poiseuille regime
• Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
• Simplest phonons and pseudo-phonons in field theory
• Anomalous scalings of the cuprate strange metals from nonlinear electrodynamics
• Anisotropic destruction of the Fermi surface in inhomogeneous holographic lattices
• Nonlinear conductivity and the ringdown of currents in metallic holography
• Gauge Invariance and Holographic Renormalization
• Out of equilibrium chiral magnetic effect and momentum relaxation in holography
• Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
• Hydrodynamic Modes of a holographic $p-$ wave superfluid
• Transverse Collective Modes in Interacting Holographic Plasmas
• Phonon and Shifton from a Real Modulated Scalar
• Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
• Strain-Induced Violation of Temperature Uniformity in Mesoscale Liquids
• Anomalous transport and holographic momentum relaxation
• Linear-$T$ resistivity from low to high temperature: axion-dilaton theories
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Charge density response and fake plasmons in holographic models with strong translation symmetry breaking
• Probes of holographic thermalization in a simple model with momentum relaxation
• Out of equilibrium Chiral Vortical Effect in Holography
• Drude weight and Mazur-Suzuki bounds in holography

Cited by in corpus (65)

• Introductory Notes on Non-linear Electrodynamics and its Applications
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
• Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography
• Holography and magnetohydrodynamics with dynamical gauge fields
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Deep learning bulk spacetime from boundary optical conductivity
• Non-linear elasticity, yielding and entropy in amorphous solids
• Homes' law in holographic superconductor with linear-$T$ resistivity
• Holographic entanglement density for spontaneous symmetry breaking
• Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy
• Kasner interiors from analytic hairy black holes
• Shear flows in far-from-equilibrium strongly coupled fluids
• Upper bound of the charge diffusion constant in holography
• Exploring the black hole spectrum of axionic Horndeski theory
• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• Construction of bulk solutions for towers of pole-skipping points
• Holographic Supersolids
• Anisotropic Flows into Black Holes
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Generalized Volume-Complexity for RN-AdS Black Hole
• Scalarization of planar anti de Sitter charged black holes in Einstein-Maxwell-Scalar theory
• Quasinormal modes of a semi-holographic black brane and thermalization
• Higgs/Amplitude Mode Dynamics From Holography
• Aspects of univalence in holographic axion models
• Holographic superconductors at zero density
• Holographic phonons by gauge-axion coupling
• Complexity growth in Gubser-Rocha models with momentum relaxation
• On pole-skipping with gauge-invariant variables in holographic axion theories
• Thermoelectric Transport in Holographic Quantum Matter under Shear Strain
• Analytic AC conductivities from holography
• Holographic superfluid with gauge-axion coupling
• Transport properties in the Horndeski holographic two-currents model
• A novel holographic quantum phase transition and butterfly velocity
• Non-abelian Einstein-Born-Infeld AdS black brane and color DC conductivity
• Transverse Goldstone mode in holographic fluids with broken translations
• Holographic Complexity and Phase Transition for AdS Black Holes
• Momentum relaxation in a holographic Weyl semimetal
• Transport properties of a $3$-dimensional holographic effective theory with gauge-axion coupling
• Alternating current conductivity and superconducting properties of the holographic effective theory
• Momentum relaxation of holographic Weyl semimetal from massive gravity
• Holographic study of shear viscosity and butterfly velocity for magnetic field-driven quantum criticality
• Charge transport properties in a novel holographic quantum phase transition model
• Holographic Lifshitz flows
• Thermoelectric transport properties of gapless pinned charge density waves
• Deep learning-based holography for T-linear resistivity
• Transport properties of a holographic model with novel gauge-axion coupling
• Mechanical stability of homogeneous holographic solids under finite shear strain
• Impurity-Driven Metal-Insulator Transitions in Holography
• Black hole interiors of homogeneous holographic solids under shear strain
• What's inside a hairy black hole in massive gravity?
• Dependence of the critical temperature and disorder in holographic superconductors on superfluid density
• Geometrisation of Ohm's reciprocity relation in a holographic plasma
• Hydrodynamic modes in holographic multiple-axion model
• Diagnosing quantum phase transition via holographic entanglement entropy at finite temperature
• The commensurate state and lock-in in a holographic model
• Holographic renormalization by Hamilton-Jacobi formulation with generated ansatz
• Dissipation induced elastic-mode instability with topological excitation in holographic non-equilibrium steady cnoidal wave supersolid
• Shear viscoelasticity in anisotropic holographic axion model
• Kasner geometries inside holographic superconductors
• Hydrodynamic magneto-transport in holographic charge density wave states
• Collective dynamics in holographic fractonic solids