Hydrodynamics from charged black branes

Abstract

We extend the recent work on fluid-gravity correspondence to charged black-branes by determining the metric duals to arbitrary charged fluid configuration up to second order in the boundary derivative expansion. We also derive the energy-momentum tensor and the charge current for these configurations up to second order in the boundary derivative expansion. We find a new term in the charge current when there is a bulk Chern-Simons interaction thus resolving an earlier discrepancy between thermodynamics of charged rotating black holes and boundary hydrodynamics. We have also confirmed that all our expressions are covariant under boundary Weyl-transformations as expected.

0+ 31 Pages; v2: 0+33 pages, typos corrected and new sections (in appendix) added; v3:published version

References in corpus (25)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Viscosity, Black Holes, and Quantum Field Theory
• Fluid dynamics of R-charged black holes
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Local Fluid Dynamical Entropy from Gravity
• Entropy Current in Conformal Hydrodynamics
• Viscous plasma evolution from gravity using AdS/CFT
• Universal holographic hydrodynamics at finite coupling
• A Holographic Dual of Hydrodynamics
• Expanding plasmas and quasinormal modes of anti-de Sitter black holes
• Forced Fluid Dynamics from Gravity
• Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT
• The shear viscosity of gauge theory plasma with chemical potentials
• Large rotating AdS black holes from fluid mechanics
• Black Hole Dynamics From Atmospheric Science
• (Un)attractor black holes in higher derivative AdS gravity
• Charge effect and finite 't Hooft coupling correction on drag force and Jet Quenching Parameter
• Elliptic Flow, Kasner Universe and Holographic Dual of RHIC Fireball
• Second order hydrodynamics of a CFT plasma from boost invariant expansion
• Higher Derivative Corrections to Locally Black Brane Metrics
• Moduli flow and non-supersymmetric AdS attractors
• Phase Transition of Electrically Charged Ricci-flat Black Holes

Cited by in corpus (302)

• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• QCD and strongly coupled gauge theories: challenges and perspectives
• Gravitational Anomaly and Transport
• Chiral Kinetic Theory
• Kinetic theory with Berry curvature from quantum field theories
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic Hydrodynamics with General Anomalous Charges
• Thermodynamics, gravitational anomalies and cones
• Lorentz Invariance in Chiral Kinetic Theory
• Momentum relaxation in holographic massive gravity
• Vorticity in Heavy-Ion Collisions
• Anomaly related transport of Weyl fermions for Weyl semi-metals
• Holographic Gravitational Anomaly and Chiral Vortical Effect
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Triangle anomaly in Weyl semi-metals
• Collisions in Chiral Kinetic Theory
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Adiabatic hydrodynamics: The eightfold way to dissipation
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• (Non)-Renormalization of the Chiral Vortical Effect Coefficient
• Notes on chiral hydrodynamics within effective theory approach
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Generalized Bloch theorem and chiral transport phenomena
• Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations
• What can we learn from global spin alignment of $\varphi$ meson in heavy-ion collisions?
• Anomalous chiral transports and spin polarization in heavy-ion collisions
• Chiral transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability
• Anomalous Transport from Kubo Formulae
• Test the chiral magnetic effect with isobaric collisions
• A theory of first order dissipative superfluid dynamics
• Chiral magnetic effect reveals the topology of gauge fields in heavy-ion collisions
• Anomalous transport coefficients from Kubo formulas in Holography
• Anomaly/Transport in an Ideal Weyl gas
• Chiral Magnetic Effect Task Force Report
• Anomaly inflow and thermal equilibrium
• Local spin polarization in high energy heavy ion collisions
• Triangle Anomalies, Thermodynamics, and Hydrodynamics
• Chiral vortical wave and induced flavor charge transport in a rotating quark-gluon plasma
• Chiral kinetic theory in curved spacetime
• Dissipative superfluid dynamics from gravity
• Chern-Simons terms from thermal circles and anomalies
• Relativistic fluid dynamics: physics for many different scales
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• Covariant Spin Kinetic Theory I: Collisionless Limit
• Feed-down effect on $\Lambda$ spin polarization
• Thermal transport, geometry, and anomalies
• A Chiral Magnetic Effect from AdS/CFT with Flavor
• Chiral conductivities and effective field theory
• Effective actions for anomalous hydrodynamics
• Foundations and Applications of Quantum Kinetic Theory
• Disentangling covariant Wigner functions for chiral fermions
• General equilibrium second-order hydrodynamic coefficients for free quantum fields
• Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
• Quantum phase transition between a topological and a trivial semimetal from holography
• Anomalous effects of dense matter under rotation
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential
• A consistent description of kinetic equation with triangle anomaly
• Chiral effects in astrophysics and cosmology
• Anomalous Magneto Response and the Stückelberg Axion in Holography
• Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions
• Transport in holographic superfluids
• A microscopic description for polarization in particle scatterings
• Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Covariant chiral kinetic equation in Wigner function approach
• Theories of Relativistic Dissipative Fluid Dynamics
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Non-Abelian anomalies in multi-Weyl semimetals
• Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
• Quark Matter in a Parallel Electric and Magnetic Field Background: Chiral Phase Transition and Equilibration of Chiral Density
• Chiral hydrodynamics in strong external magnetic fields
• MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities
• Transport in Anisotropic Superfluids: A Holographic Description
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
• Hydrodynamics of cold holographic matter
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Entropy Current from Partition Function: One Example
• Quasinormal modes of charged magnetic black branes & chiral magnetic transport
• Off-shell hydrodynamics from holography
• (Non)renormalization of Anomalous Conductivities and Holography
• Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid
• Momentum relaxation from the fluid/gravity correspondence
• Temperature dependence of the axial magnetic effect in two-color quenched QCD
• Charge redistribution from anomalous magnetovorticity coupling
• Constraints on Anomalous Fluid in Arbitrary Dimensions
• Testing Quantum Gravity through Dumb Holes
• Numerical evidence of the axial magnetic effect
• Chiral and Gravitational Anomalies on Fermi Surfaces
• The dynamics of quark-gluon plasma and AdS/CFT
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• How Fluids Bend: the Elastic Expansion for Higher-Dimensional Black Holes
• Chiral Kinetic Theory from Effective Field Theory Revisited
• Chiral Alfvén Wave in Anomalous Hydrodynamics
• On Mass correction to Chiral Vortical Effect and Chiral Separation Effect
• Holographic thermal field theory on curved spacetimes
• Fluid/Gravity Correspondence, Local Wald Entropy Current and Gravitational Anomaly
• The no-drag frame for anomalous chiral fluid
• The charmonium dissociation in an "anomalous wind"
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• Anomalous Transport in Holographic Boundary Conformal Field Theories
• Chiral Langevin theory for non-Abelian plasmas
• Quantum Kinetic Theory for Quantum Electrodynamics
• Towards a Holographic Realization of Homes' Law
• Early thermalization, hydrodynamics and energy loss in AdS/CFT
• Wigner functions and quantum kinetic theory of polarized photons
• Anomalies in Superfluids and a Chiral Electric Effect
• Anomalies and the Helicity of the Thermal State
• The chiral vortical effect in Wigner function approach
• Chiral Heat Wave and mixing of Magnetic, Vortical and Heat waves in chiral media
• Chiral kinetic theory from Landau level basis
• Frequency dependence of the Chiral Vortical Effect
• Second order hydrodynamic coefficients from 3-point stress tensor correlators via AdS/CFT
• Origin of the Drude peak and of zero sound in probe brane holography
• Holographic heavy ion collisions with baryon charge
• Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions
• Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
• Wigner functions of massive fermions in strong magnetic fields
• Weyl Anomaly Induced Current in Boundary Quantum Field Theories
• Holographic Forced Fluid Dynamics in Non-relativistic Limit
• Black Branes as Piezoelectrics
• Holographic Bjorken flow of a hot and dense fluid in the vicinity of a critical point
• Causal first-order hydrodynamics from kinetic theory and holography
• Chiral Radiation Transport Theory of Neutrinos
• The influence of chiral chemical potential, parallel electric and magnetic fields on the critical temperature of QCD
• Magnetohydrodynamics from gravity
• An anomalous hydrodynamics for chiral superfluid
• First order non-Lorentzian fluids, entropy production and linear instabilities
• Effective hydrodynamics of black D3-branes
• Holographic Screens and Transport Coefficients in the Fluid/Gravity Correspondence
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Anomaly-driven inverse cascade and inhomogeneities in a magnetized chiral plasma in the early Universe
• Fluid/gravity duality with Petrov-like boundary condition in a spacetime with a cosmological constant
• QCD phase structure under rotation
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Is the Chiral Magnetic Effect fast enough?
• A Holographic Model For Hall Viscosity
• Spontaneous Generation of Angular Momentum in Holographic Theories
• New Transport Properties of Anisotropic Holographic Superfluids
• Forced Fluid Dynamics from Blackfolds in General Supergravity Backgrounds
• Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity
• Black Brane Entropy and Hydrodynamics
• Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
• Chiral Relaxation Time at the Crossover of Quantum Chromodynamics
• A Charged Membrane Paradigm at Large D
• Holographic Charged Fluid with Anomalous Current at Finite Cutoff Surface in Einstein-Maxwell Gravity
• Hydrodynamics with gauge anomaly: Variational principle and Hamiltonian formulation
• On the apparent horizon in fluid-gravity duality
• Fluid/gravity correspondence: Second order transport coefficients in compactified D4-branes
• Boost invariant formulation of the chiral kinetic theory
• Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon
• Electroelasticity of Charged Black Branes
• Surface transport in plasma-balls
• Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum
• The chiral magnetic wave in an expanding QCD fluid
• Correlations far from equilibrium in charged strongly coupled fluids subjected to a strong magnetic field
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• An effective description of momentum diffusion in a charged plasma from holography
• AC conductivity for a holographic Weyl Semimetal
• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• On the anomalous superfluid hydrodynamics
• Second order transport from anomalies
• Second-order Charge Currents and Stress Tensor in Chiral System
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Quark-meson model under rotation: A functional renormalization group study
• Holographic Flow of Anomalous Transport Coefficients
• Skin effect as a probe of transport regimes in Weyl semimetals
• Gravitational Anomaly and Hydrodynamics
• Conformal Anomalies in Hydrodynamics
• Novel Parity Violating Transport Coefficients in 2+1 Dimensions from Holography
• Transport in non-conformal holographic fluids
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Numerical Study of the Chiral Separation Effect in Two-Color QCD at Finite Density
• Drag force to all orders in gradients
• Causal and stable first-order chiral hydrodynamics
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
• On the surface of superfluids
• Holographic Zero Sound from Spacetime-Filling Branes
• Anomalous Transport in Holographic Chiral Superfluids via Kubo Formulae
• Chiral plasma instability and primordial Gravitational wave
• Impact of vorticity and viscosity on the hydrodynamic evolution of hot QCD medium
• The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
• Out of equilibrium chiral magnetic effect and momentum relaxation in holography
• Entropy current for non-relativistic fluid
• Negative magnetoresistivity in holography
• Competition between magnetic catalysis effect and chiral rotation effect
• Thermodynamics of a rotating hadron resonance gas with van der Waals interaction
• Holographic Thermal Helicity
• On Dumb Holes and their Gravity Duals
• The Energy Loss of a Heavy Quark Moving in a Viscous Fluid
• Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor
• Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge
• Relativistic Elasticity of Stationary Fluid Branes
• Anomalous transport from holography: Part I
• Magnetic field induced neutrino chiral transport near equilibrium
• Chiral vortical conductivity across a topological phase transition from holography
• The holographic spectral function in non-equilibrium states
• Parity violating quantum kinetic theory in (2+1)-dimensions
• Nonlinear chiral transport from holography
• Chiral vortical effect in relativistic and nonrelativistic systems
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Magnetoconductivity in chiral Lifshitz hydrodynamics
• Fluid-gravity correspondence and causal first-order relativistic viscous hydrodynamics
• Probing the Hydrodynamic Limit of (Super)gravity
• Collective Excitations in Hot QCD Plasma
• Anomaly-induced transport phenomena from the imaginary-time formalism
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• Magneto-vortical Effect in Strong Magnetic Field
• Zero sound and higher-form symmetries in compressible holographic phases
• A New Approach to Non-Abelian Hydrodynamics
• Anomalous transport and holographic momentum relaxation
• Hydrodynamic Regimes of Spinning Black D3-Branes
• Chiral separation effect catalyzed by heavy impurities
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Dissipative effects in finite density holographic superfluids
• Universal chiral conductivities for low temperature holographic superfluids
• Hall Viscosity and Angular Momentum in Gapless Holographic Models
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Fluid/gravity correspondence: A nonconformal realization in compactified D4 branes
• An effective description of charge diffusion and energy transport in a charged plasma from holography
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
• Chiral Magnetic and Vortical Effects in Higher Dimensions at Weak Coupling
• Induced Chern-Simons modified gravity at finite temperature
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• A leading-order comparison between fluid-gravity and membrane-gravity dualities
• Near-Extremal Fluid Mechanics
• Hydrodynamic Excitations from Chiral Kinetic Theory and the Hydrodynamic Frames
• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity
• Chiral magnetic waves in strongly coupled Weyl semimetals
• Topology of Generalized Spinors and Chiral Anomaly
• Fluid Super-Dynamics from Black Hole Superpartners
• Holographic dual of a boost-invariant plasma with chemical potential
• Magneto-vortical effect in strongly coupled plasma
• Supersymmetric Fluid Dynamics
• Dynamics of vortices in chiral media: the chiral propulsion effect
• Holographic parity violating charged fluid dual to Chern-Simons modified gravity
• Relaxation Times for Chiral Transport Phenomena and Spin Polarization in Strongly Coupled Plasma
• Forced Fluid Dynamics from Gravity in Arbitrary Dimensions
• Chiral asymmetry in cold QED plasma in a strong magnetic field
• Radiation in Fluid/Gravity and the Flat Limit
• The effect of magnetization and electric polarization on the anomalous transport coefficients of a chiral fluid
• Anomalous conductivities in the holographic Stuckelberg model
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Out of equilibrium Chiral Vortical Effect in Holography
• Fluid-gravity and membrane-gravity dualities - Comparison at subleading orders
• Note on anomalous currents for a free theory
• Chiral current induced by torsional Weyl anomaly
• Membrane paradigm and RG flows for anomalous holographic theories
• High temperature behavior of non-local observables in boosted strongly coupled plasma: A holographic study
• Holographic Dissipation from the Symplectic Current
• Macroscopic transports in a rotational system with an electromagnetic field
• Angular Momentum Generation by Parity Violation
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• First-order relativistic hydrodynamics with an information current
• Entropy currents from holography in hydrodynamics with charge
• A Semiclassical Formulation of the Chiral Magnetic Effect and Chiral Anomaly in Even d+1 Dimensions
• Some Features of Semiclassical Chiral Transport in Rotating Frames
• Rotating solutions of nonideal transverse Chern-Simons magnetohydrodynamics and the anomalous Hall current
• Higher Derivative Corrections to Charged Fluids in 2n Dimensions
• Chiral heat wave and mixed waves in kinetic theory
• On the gravity dual of strongly coupled charged plasma
• Composite-particle hydrodynamics from dyonic black branes
• Topological phase transitions of semimetal states in effective field theory models
• Strongly interacting matter in extreme magnetic fields
• Fluid/Gravity Correspondence, Second Order Transport and Gravitational Anomaly
• Operator lifetime and the force-free electrodynamic limit of magnetised holographic plasma
• Phase space holography with no strings attached
• Equal-time kinetic equations in a rotational field
• Thermal Product Formula for Shear Modes
• Anomalous transport from geometry
• Covariant Chiral Kinetic Equation in Non-Abelian Gauge field from "covariant gradient expansion"
• Chiral transport of neutrinos in supernovae
• Rindler Fluid with Weak Momentum Relaxation
• Second order transport coefficients of nonconformal fluids from compactified Dp-branes
• Holographic Constraints on Generalised Rivlin-Ericksen Fluid
• Light-Cone Reduction vs. TsT transformations : A Fluid Dynamics Perspective
• One-loop effective actions and 2D hydrodynamics with anomalies
• Microscopic Study of Vorticities in Relativistic Chiral Fermions
• Anomalous transport and massive gravity theories
• Magnetization energy current in the axial magnetic effect
• Second order Galilean fluids & Stokes' law
• Fluid Acceleration in Heavy-Ion Collisions
• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Holographic entanglement entropy for relativistic hydrodynamic flows
• Phenomenology of anomalous chiral transports in heavy-ion collisions
• Scale invariance with fundamental matters and anomaly: A holographic description
• Broken Lifshitz invariance, spin waves and hydrodynamics
• Holographic deconfined QGP phase diagram and entropy with an anomalous flow in a magnetic field background
• Sonic velocity in holographic fluids and its applications
• Dirac fermions under imaginary rotation
• Enhancement of Anomalous Boundary Current by High Temperature
• Counterflow and coflow instabilities in miscible binary superfluids
• Applying Deep Learning Technique to Chiral Magnetic Wave Search
• Anomalous transport in second order hydrodynamics