Holographic parity violating charged fluid dual to Chern-Simons modified gravity

Understand

We discuss the $(2+1)$-dimensional parity violating charged fluid on a finite cutoff surface $\Sigma_c$, dual to the nondynamical and dynamical Chern-Simons (CS) modified gravities.

• Using nonrelativistic long-wavelength expansion method, the field equations are solved up to $\mathcal{O}(\epsilon^2)$ in the nondynamical model.
• It is shown that there exists nonvortical dual fluid with shear viscosity $\eta$ and Hall viscosity $\eta_A$ on the cutoff surface $\Sigma_c$.
• The ratio of shear viscosity over entropy density $\eta/s$ of the fluid takes the universal value $1/{4\pi}$, while the ratio of Hall viscosity over entropy density $\eta_A/s$ depends on the $\Sigma_c$ and black brane charge $q$.