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 (6)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Viscosity, Black Holes, and Quantum Field Theory
• Bulk viscosity of gauge theory plasma at strong coupling
• Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations

Cited by in corpus (2)

• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries