Abstract
We study the Nielsen-Olesen vortices in the three dimensional noncompact Abelian Higgs model with a Chern-Simons term. The vortices are fractionally charged anyons (i.e., particles with fractional spin and statistics). In a certain limit we can express the theory in terms of these topological excitations by performing a duality transformation on the lattice. The result is a topologically conserved current describing the vortices, minimally coupled to a dynamical gauge field with a Chern-Simons term. Spin, statistics and size of the excitations are all preserved under this transformation.
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