Charged, conformal non-relativistic hydrodynamics
arXiv:1003.0797 · doi:10.1007/JHEP10(2010)015
Abstract
We embed a holographic model of an U(1) charged fluid with Galilean invariance in string theory and calculate its specific heat capacity and Prandtl number. Such theories are generated by a R-symmetry twist along a null direction of a N=1 superconformal theory. We study the hydrodynamic properties of such systems employing ideas from the fluid-gravity correspondence.
31 pages, 1 figure, JHEP3 style, refs added, typos corrected, missing terms in spatial charge current and field corrections added, to be published in JHEP
References in corpus (44)
- Gauge Theory Correlators from Non-Critical String Theory
- Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
- Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
- The PHOBOS Perspective on Discoveries at RHIC
- A Stress Tensor for Anti-de Sitter Gravity
- Nonlinear Fluid Dynamics from Gravity
- Hydrodynamics with Triangle Anomalies
- From AdS/CFT correspondence to hydrodynamics
- Gravity duals for non-relativistic CFTs
- Deforming field theories with global symmetry and their gravity duals
- Fluid dynamics of R-charged black holes
- Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
- From AdS/CFT correspondence to hydrodynamics. II. Sound waves
- Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
- Comments on string theory backgrounds with non-relativistic conformal symmetry
- Heating up Galilean holography
- Hot Spacetimes for Cold Atoms
- Consistent supersymmetric Kaluza--Klein truncations with massive modes
- Holographic stress tensor for non-relativistic theories
- The geometry of Schrödinger symmetry in non-relativistic CFT
- Conformal Invariance for Non-Relativistic Field Theory
- The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
- Gauged supergravity from type IIB string theory on Y^{p,q} manifolds
- On the spectrum of nonrelativistic AdS/CFT
- Field-dependent symmetries of a non-relativistic fluid model
- Families of IIB duals for nonrelativistic CFTs
- On deformed gauge theories and their string/M-theory duals
- Black strings in asymptotically plane wave geometries
- Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
- AdS/CFT duality for non-relativistic field theory
- Conformal Symmetry of Relativistic and Nonrelativistic Systems and AdS/CFT Correspondence
- Conformal non-relativistic hydrodynamics from gravity
- Black holes and non-relativistic quantum systems
- Supersymmetric solutions for non-relativistic holography
- Thermodynamics of Black Holes in Schroedinger Space
- Solutions of type IIB and D=11 supergravity with Schrodinger(z) symmetry
- Schrodinger invariant solutions of type IIB with enhanced supersymmetry
- An Index for Non-relativistic Superconformal Field Theories
- Symmetries of fluid dynamics with polytropic exponent
- Non-relativistic Branes
- Non-relativistic Holography and Singular Black Hole
- Non-relativistic metrics with extremal limits
- Kerr-AdS black holes and non-relativistic conformal QM theories in diverse dimensions
- Brane Solutions with/without Rotation in PP-wave Spacetime
Cited by in corpus (11)
- Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions
- First order non-Lorentzian fluids, entropy production and linear instabilities
- Galilean Anomalies and Their Effect on Hydrodynamics
- Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes
- Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
- Entropy current for non-relativistic fluid
- Separable wave equations for gravitoelectromagnetic perturbations of rotating charged black strings
- Geometry and Phase Structure of Non-Relativistic Branes
- Covariant Poisson's equation in torsional Newton-Cartan gravity
- Light-Cone Reduction vs. TsT transformations : A Fluid Dynamics Perspective
- Holographic Constraints on Generalised Rivlin-Ericksen Fluid