  We consider the problem of transferring overall rotation of quark-gluon
plasma to polarization of hyperons along the rotation axis. As a toy
theoretical model, we exploit that of pionic superfluidity induced by chemical
potentials violating isotopic symmetry. Apparently, the model accounts only for
the light degrees of freedom, that is pions. The rotation, however, results in
vortices which are infinitely thin in the hydrodynamic approximation. Field
theory resolves the singularity and predicts that the core of the vortices is
build up on spins of baryons. We review consequences from the quark-hadron
duality in this case. First, an anomalous triangle graph in effective field
theory turns to be dual to the vorticity term in the standard hydrodynamic
expansion. And, then, the overall coefficient determining the polarization of
baryons is fixed by duality with the triangle graph in the fundamental field
theory.
