Galilean noncommutative gauge theory: symmetries & vortices

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Updated version: some statements rephrased and further references added. LaTex, 17 pages, no figures

Scientific paper

10.1016/j.nuclphysb.2003.09.027

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.

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