  In Weyl semimetals subjected to torsion, there are two different kinds of
chirality: i) the (coordinate-space) shape of the twisted crystal is chiral,
and ii) the momentum space contains chiral quasi-particles. Here we construct a
general kinetic theory of anomalous transport using the phase space (coordinate
and momentum spaces combined) Berry curvature induced by torsion in Weyl
systems. We describe how torsion generates the chiral chemical potential, and
thus leads to the Chiral Magnetic Effect (CME) in the presence of a background
magnetic field. We propose to measure the CME current induced by the torsion as
a way to detect the anomalous coupling between the coordinate-space and
momentum-space chiralities.
