Galilean noncommutative gauge theory: symmetries & vortices

Abstract

Noncommutative Chern-Simons gauge theory coupled to nonrelativistic scalars or spinors is shown to admit the ``exotic'' two-parameter-centrally extended Galilean symmetry, realized in a unique way consistent with the Seiberg-Witten map. Nontopological spinor vortices and topological external-field vortices are constructed by reducing the problem to previously solved self-dual equations.Comment: Updated version: some statements rephrased and further references added. LaTex, 17 pages, no figure