  The spin Hall effect of light attracted enormous attention in the literature
due to the ongoing progress in developing of new optically active materials and
metamaterials with non-trivial spin-orbit interaction. Recently, it was shown
that rotating fermionic systems with relativistic massless spectrum may exhibit
a 3d analogue of the spin Hall current -- the chiral vortical effect (CVE).
Here we show that CVE is a general feature of massless particles with an
arbitrary spin. We derive the semi-classical equations of motion in rotating
frame from the first principles and show how by coordinate transformation in
the phase space it can be brought to the intuitive form proposed in [1]. Our
finding clarifies the superficial discrepancies in different formulations of
the chiral kinetic theory for rotating systems. We then generalize the chiral
kinetic theory, originally introduced for fermions, to an arbitrary spin and
study chirality current in a general rotating chiral medium. We stress that the
higher-spin realizations of CVE can be in principle observed in various setups
including table-top experiments on quantum optics.
