Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma

Understand

We study holographic RG flow of the shear viscosity tensor of anisotropic, strongly coupled N=4 super-Yang-Mills plasma by using its type IIB supergravity dual in anisotropic bulk spacetime.

• We find that the shear viscosity tensor has three independent components in the anisotropic bulk spacetime away from the boundary, and one of the components has a non-trivial RG flow while the other two have a trivial one.
• For the component of the shear viscosity tensor with non-trivial RG flow, we derive its RG flow equation, and solve the equation analytically to second order in the anisotropy parameter 'a'.
• We derive the RG equation using the equation of motion, holographic Wilsonian RG method, and Kubo's formula.