  We study the chiral effective theory in the presence of QCD vortices. Gauge
invariance requires novel terms from vortex singularities in the gauged
Wess-Zumino-Witten action, which incorporate anomaly induced currents along the
vortices. We examine these terms for systems with QCD axial domain-walls
bounded by vortices (vortons) under magnetic fields. We discuss how the baryon
and the electric charge conservations are satisfied in these systems through
interplay between domain-walls and vortices, which manifests Callan-Harvey's
mechanism of the anomaly inflow.
