S-duality in AdS/CFT magnetohydrodynamics

Abstract

We study the nonlinear hydrodynamics of a 2+1 dimensional charged conformal fluid subject to slowly varying external electric and magnetic fields. Following recent work on deriving nonlinear hydrodynamics from gravity, we demonstrate how long wavelength perturbations of the AdS dyonic black brane solution of 4D supergravity are governed by equations equivalent to fluid dynamics equations in the boundary theory. We investigate the implications of $S$-duality for our system, and derive restrictions imposed on the transport coefficients of a generic fluid invariant under the S operation. We also expand on our earlier work and determine a new set of previously undetermined transport coefficients for the conformal fluid with an AdS gravity dual. Quite surprisingly, we discover that half of the transport coefficients allowed by symmetry vanish in the holographic fluid at linear order in the hydrodynamic expansion.

25 pages

References in corpus (11)

• Nonlinear Fluid Dynamics from Gravity
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Viscosity, Black Holes, and Quantum Field Theory
• Quantum critical transport, duality, and M-theory
• Hall conductivity from dyonic black holes
• Local Fluid Dynamical Entropy from Gravity
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Forced Fluid Dynamics from Gravity
• Nonlinear Magnetohydrodynamics from Gravity
• Sound Waves in (2+1) Dimensional Holographic Magnetic Fluids

Cited by in corpus (8)

• Charged Magnetic Brane Solutions in AdS_5 and the fate of the third law of thermodynamics
• Holographic Quantum Critical Transport without Self-Duality
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Composite Fermion Metals from Dyon Black Holes and S-Duality
• Collective Excitations of Holographic Quantum Liquids in a Magnetic Field
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Composite-particle hydrodynamics from dyonic black branes