NON-ABELIAN VORTICES AND NON-ABELIAN STATISTICS

We study the interactions of non-Abelian vortices in two spatial dimen sions. These interactions have novel features, because the Aharonov-Bo hm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multivalued function of the scattering angle. There can be an exchange contributio n to the vortex-vortex scattering amplitude that adds coherently with the direct amplitude, even if the two vortices have distinct quantum n umbers. Thus two vortices can be ''indistinguishable'' even though the y are not the same.