Charged, conformal non-relativistic hydrodynamics

2010/03/31 by Daniel K. Brattan · 13 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Galilean #Galilean invariance #Holography #Noncommutative and Quantum Gravity Theories #String (physics) #String theory #Twist #hep-th

paper · pdf · doi:10.1007/jhep10(2010)015

published in Journal of High Energy Physics 2010(10) (Springer Nature) · 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

arxiv created 2010/09/13 · openalex publication_date 2010/10/01 · arxiv updated 2010/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Gravity Duals for Nonrelativistic Conformal Field Theories
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• Nonlinear Fluid Dynamics from Gravity
• Kerr-AdS black holes and non-relativistic conformal QM theories in diverse dimensions
• Non-relativistic metrics with extremal limits
• Hot spacetimes for cold atoms
• Holographic stress tensor for non-relativistic theories
• Nonstationary irreversible thermodynamics: A causal relativistic theory
• Nearly perfect fluidity: from cold atomic gases to hot quark gluon plasmas
• The large N limit of superconformal field theories and supergravity

Cited by

• The geometry and phase structure of non-relativistic branes
• Hyperscaling-violating Lifshitz hydrodynamics from black-holes: part II