Hydrodynamics from the D1-brane

Abstract

We study the hydrodynamic properties of strongly coupled SU(N) Yang-Mills theory of the D1-brane at finite temperature in the framework of gauge/gravity duality. The only non-trivial viscous transport coefficient in 1+1 dimensions is the bulk viscosity. We evaluate the bulk viscosity by isolating the quasi-normal mode corresponding to the sound channel for the gravitational background of the D1-brane. We find that the ratio of the bulk viscosity to the entropy density to be 1/4π. This ratio continues to be $1/4\pi$ also in the regime when the D1-brane Yang-Mills theory is dual to the gravitational background of the fundamental string. Our analysis shows that this ratio is equal to 1/4πfor a class of gravitational backgrounds dual to field theories in 1+1 dimensions obtained by considering D1-branes at cones over Sasaki-Einstein 7-manifolds.

34 pages

References in corpus (27)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Nonlinear Fluid Dynamics from Gravity
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• From AdS/CFT correspondence to hydrodynamics
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Quasinormal modes and holography
• Holography and hydrodynamics: diffusion on stretched horizons
• Viscosity, Black Holes, and Quantum Field Theory
• Universality of the shear viscosity in supergravity
• UV/IR Relations in AdS Dynamics
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• The domain-wall/QFT correspondence
• Thermodynamics of the brane
• Bulk viscosity of gauge theory plasma at strong coupling
• Consistent Kaluza-Klein Sphere Reductions
• Precision holography for non-conformal branes
• Sound waves in strongly coupled non-conformal gauge theory plasma
• The Hydrodynamics of M-Theory
• Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
• The Sound of M-Theory
• Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations
• Hydrodynamics of Sakai-Sugimoto model in the quenched approximation
• Surface counterterms and boundary stress-energy tensors for asymptotically non-anti-de Sitter spaces
• Black hole mass and Hamilton-Jacobi counterterms
• Hydrodynamics from the Dp-brane
• Holographic renormalization for coincident Dp-branes

Cited by in corpus (23)

• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Adiabatic hydrodynamics: The eightfold way to dissipation
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• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• Properties of CFTs dual to Charged BTZ black-hole
• The Fluid/Gravity Correspondence: a new perspective on the Membrane Paradigm
• Towards a general fluid/gravity correspondence
• Notes on the bulk viscosity of holographic gauge theory plasmas
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• Hydrodynamics of R-charged D1-branes
• Phase diagram for non-axisymmetric plasma balls
• Hydrodynamics from scalar black branes
• Fluid/gravity correspondence: A nonconformal realization in compactified D4 branes
• Near-Extremal Fluid Mechanics
• Second order transport coefficients of nonconformal relativistic fluids in various dimensions from Dp-brane
• Second order transport coefficients of nonconformal fluids from compactified Dp-branes
• The properties of $D1$-branes from lattice super Yang--Mills theory using gauge/gravity duality
• Fermionic probes of local quantum criticality in one dimension
• Compactified AdS black holes, Chamblin-Reall background, and their dual non-conformal relativistic fluids
• Bit Threads: From Entanglement to Geometric Entropies
• Holographic Lifshitz fluids in 1+1 dimensions