Holographic chiral shear waves from anomaly

Abstract

We study dispersion relations of hydrodynamic waves of hot N=4 SYM plasma at strong coupling with a finite U(1) R-charge chemical potential via holography. We first provide complete equations of motion of linearized fluctuations out of a charged AdS black-hole background according to their helicity, and observe that helicity +1 and -1 transverse shear modes receive a new parity-odd contribution from the 5D Chern-Simons term, which is dual to 4D U(1)^3 anomaly. We present a systematic solution of the helicity +1,-1 wave equations in long wave-length expansion, and obtain the corresponding dispersion relations. The results depend on the sign of helicity, which may be called chiral shear waves.

15 pages

References in corpus (15)

• The Chiral Magnetic Effect
• Nonlinear Fluid Dynamics from Gravity
• Hydrodynamics with Triangle Anomalies
• Viscosity, Black Holes, and Quantum Field Theory
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Chiral Magnetic conductivity
• Numerical evidence of chiral magnetic effect in lattice gauge theory
• Holographic Hydrodynamics with a Chemical Potential
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Transport coefficients, membrane couplings and universality at extremality
• Bulk Filling Branes and the Baryon Density in AdS/QCD with gravity back-reaction
• Anomalous Chiral Superfluidity
• Anomalous conductivity in holographic QCD
• Magnetic conductivity and Chern-Simons Term in Holographic Hydrodynamics of Charged AdS Black Hole
• Viscosity to entropy ratio at extremality

Cited by in corpus (22)

• Chiral Magnetic Wave
• Gravity Dual of Spatially Modulated Phase
• Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations
• Electric-current Susceptibility and the Chiral Magnetic Effect
• Anomalous transport coefficients from Kubo formulas in Holography
• Foundations and Applications of Quantum Kinetic Theory
• Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
• Quasinormal modes of charged magnetic black branes & chiral magnetic transport
• Electrified plasma in AdS/CFT correspondence
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Magnetic conductivity and Chern-Simons Term in Holographic Hydrodynamics of Charged AdS Black Hole
• Holographic chiral magnetic spiral
• An anomalous hydrodynamics for chiral superfluid
• Near-Horizon Analysis of $\eta /s$
• Holographic Optics and Negative Refractive Index
• Second order transport from anomalies
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
• Photo-emission rate of sQGP at finite density
• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Anomaly induced transport coefficients, from weak to strong coupling
• Chiral transport in curved spacetime via holography