Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics

Understand

In ref.

• \cite{1406.7222}, we reported a construction of all order linearized fluid dynamics with strongly coupled $\mathcal{N}=4$ super-Yang-Mills theory as underlying microscopic description.
• The linearized fluid/gravity correspondence makes it possible to resum all order derivative terms in the fluid stress tensor.
• Dissipative effects are fully encoded by the shear term and a new one, emerging starting from third order in hydrodynamic derivative expansion.