Conformal non-relativistic hydrodynamics from gravity

Abstract

We show that the recently constructed holographic duals of conformal non-relativistic theories behave hydrodynamically at long distances, and construct the gravitational dual of fluid flows in a long-wavelength approximation. We compute the thermal conductivity of the holographic conformal non-relativistic fluid. The corresponding Prandtl number is equal to one.

29 pages, latex. v2 added refs

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• Correlation Functions in Non-Relativistic Holography
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• Universal Sound Diffusion in a Strongly Interacting Fermi Gas
• Supersymmetric IIB Solutions with Schrödinger Symmetry
• Aspects of hot Galilean field theory
• On AdS/CFT of Galilean Conformal Field Theories
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• Branes at Quantum Criticality
• Non-relativistic CFT and Semi-classical Strings
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• Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
• Hydrodynamic Modes of Homogeneous and Isotropic Fluids
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• Schrödinger Symmetry in Gravitational Mini-Superspaces
• Entropy current for non-relativistic fluid
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• Non-relativistic fluids on scale covariant Newton-Cartan backgrounds
• Note About Hamiltonian Dynamics of String in Non-Relativistic D3-Brane Background
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• Broken Lifshitz invariance, spin waves and hydrodynamics