Anisotropic hydrodynamics, holography, and the chiral magnetic effect

We discuss a possible dependence of the chiral magnetic effect (CME) on the elliptic flow coefficient v₂. We first study this in a hydrodynamic model for a static anisotropic plasma with multiple anomalous U(1) currents. In the case of two charges, one axial and one vector, the CME formally appears as a first-order transport coefficient in the vector current. We compute this transport coefficient and show its dependence on v₂. We also determine the CME coefficient from first-order corrections to the dual anti-de Sitter background using the fluid-gravity duality. For small anisotropies, we find numerical agreement with the hydrodynamic result.