  We reconsider the problem of electrically charged, massless fermions
scattering off magnetic monopoles. The interpretation of the outgoing states
has long been a puzzle as, in certain circumstances, they necessarily carry
fractional quantum numbers. We argue that consistency requires such outgoing
particles to be attached to a topological co-dimension 1 surface, which ends on
the monopole. This surface cannot participate in a 2-group with the magnetic
1-form symmetry and is often non-invertible. Equivalently, the outgoing
radiation lies in a twisted sector and not in the original Fock space. The
outgoing radiation therefore not only carries unconventional flavor quantum
numbers, but is often trailed by a topological field theory. We exemplify these
ideas in the 1+1 dimensional, chiral 3450 model which shares many of the same
features.
  We comment on the effects of gauge field fluctuations on the lowest angular
momentum fermion scattering states in the presence of a magnetic monopole.
While, to leading order, these zero modes can penetrate into the monopole core,
in the full theory some of the zero modes are lifted and develop a small
centrifugal barrier. The dynamics of the zero modes is that of a multi-flavor
Schwinger model with a space-dependent gauge coupling. Symmetries and anomalies
constrain the fate of the pseudo-zero modes.
