Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
arXiv:0903.4894 · doi:10.1088/1126-6708/2009/08/020
Abstract
We study viscous hydrodynamics of hot conformal field theory plasma with multiple/non-Abelian symmetries in the framework of AdS/CFT correspondence, using a recently proposed method of directly solving bulk gravity in derivative expansion of local plasma parameters. Our motivation is to better describe the real QCD plasma produced at RHIC, incorporating its U(1)^Nf flavor symmetry as well as SU(2)_I non-Abelian iso-spin symmetry. As concrete examples, we choose to study the STU model for multiple U(1)^3 symmetries, which is a sub-sector of 5D N=4 gauged SUGRA dual to N=4 Super Yang-Mills theory, capturing Cartan U(1)^3 dynamics inside the full R-symmetry. For SU(2), we analyze the minimal 4D N=3 gauged SUGRA whose bosonic action is simply an Einstein-Yang-Mills system, which corresponds to SU(2) R-symmetry dynamics on M2-branes at a Hyper-Kahler cone. By generalizing the bosonic action to arbitrary dimensions and Lie groups, we present our analysis and results for any non-Abelian plasma in arbitrary dimensions.
37 pages, v3: errors corrected, reference added, JHEP version
References in corpus (43)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Nonlinear Fluid Dynamics from Gravity
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Beyond eta/s = 1/4pi
- Colorful horizons with charge in anti-de Sitter space
- Ohm's Law at strong coupling: S duality and the cyclotron resonance
- Universal hydrodynamics of non-conformal branes
- Quantum corrections to eta/s
- AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields
- Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
- Universal holographic hydrodynamics at finite coupling
- Finite Temperature Large N Gauge Theory with Quarks in an External Magnetic Field
- Forced Fluid Dynamics from Gravity
- The RHIC fireball as a dual black hole
- The Chiral Model of Sakai-Sugimoto at Finite Baryon Density
- Holographic vector mesons from spectral functions at finite baryon or isospin density
- Shear viscosity of boost invariant plasma at finite coupling
- Dissecting the string theory dual of QCD
- Conformal non-relativistic hydrodynamics from gravity
- Quasinormal spectrum and the black hole membrane paradigm
- Higher derivative effects on eta/s at finite chemical potential
- Relaxation time of a CFT plasma at finite coupling
- Dyonic AdS black holes from magnetohydrodynamics
- A Holographic Dual of Bjorken Flow
- Holographic QCD with Isospin Chemical Potential
- Second order hydrodynamics of a CFT plasma from boost invariant expansion
- Consistent holographic description of boost-invariant plasma
- Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
- From static to evolving geometries -- R-charged hydrodynamics from supergravity
- M2-brane Probe Dynamics and Toric Duality
- Nonlinear Magnetohydrodynamics from Gravity
- CFT Hydrodynamics: Symmetries, Exact Solutions and Gravity
- Hydrodynamics from the D1-brane
- Shock waves from heavy-quark mesons in AdS/CFT
- Quarkonium transport in thermal AdS/CFT
- AdS/CFT with Tri-Sasakian Manifolds
- Prediction of a Photon Peak in Heavy Ion Collisions
- Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
- Non-relativistic D3-brane in the presence of higher derivative corrections
- Causal hydrodynamics and the membrane paradigm
- Fate of Z(N) walls in hot holographic QCD