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Galilean noncommutative gauge theory: symmetries & vortices

P. A. Horvathy·L. Martina·P. C. Stichel
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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.

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P. A. Horvathy, L. Martina, P. C. Stichel. 2003-06-30. Galilean noncommutative gauge theory: symmetries & vortices. https://doi.org/10.1016/j.nuclphysb.2003.09.027

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