Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT

TL;DR

This paper calculates hydrodynamic coefficients for viscous fluids with AdS duals in dimensions 3 to 7, including an exact AdS_3 black hole solution for D=3, extending the understanding of holographic hydrodynamics.

Contribution

It provides explicit coefficients for two-derivative hydrodynamic terms across various dimensions and introduces an exact AdS_3 black hole solution valid to all derivative orders.

Findings

Derived hydrodynamic coefficients for D=3 to 7.

Obtained an exact AdS_3 black hole solution.

Dual to a perfect fluid in 1+1 dimensions.

Abstract

We compute coefficients of two-derivative terms in the hydrodynamic energy momentum tensor of a viscous fluid which has an AdS_D dual with D between 3 and 7. For the case of D=3 we obtain an exact AdS_3 black hole solution, valid to all orders in a derivative expansion, dual to a perfect fluid in 1+1 dimensions.