  I analyze an atomic Fermi gas with a planar p-wave interaction, motivated by
the experimentally observed anisotropy in p-wave Feshbach resonances. An axial
superfluid state is verified. A domain wall object is discovered to be a new
topological defect of this superfluid and an explicit solution has been found.
Gapless quasiparticles appear as bound states on the wall, dispersing in the
space of reduced dimensions. Surprisingly, they are chiral, deeply related to
fermion zero modes and anomalies in quantum chromodynamics. The chirality of
the superfluid is manifested by a persistent anomalous mass current of atoms in
the groundstate. This spectacular quantum phenomenon is a prediction for future
experiments.
