  In the presence of dense matter quantum anomalies give rise to two new
transport phenomena. An anomalous current is generated either by an external
magnetic field or through vortices in the fluid carrying the anomalous charge.
The associated transport coefficients are the anomalous magnetic and vortical
conductivities. Whereas a Kubo formula for the anomalous magnetic conductivity
is well known we develop a new Kubo type formula that allows the calculation of
the vortical conductivity through a two point function of the anomalous current
and the momentum density. We also point out that the anomalous vortical
conductivity can be understood as a response to a gravitomagnetic field. We
apply these Kubo formulas to a simple Holographic system, the R-charged black
hole.
