Galilean noncommutative gauge theory: Symmetries and vortices

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.

Note:

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

11.15.-q
11.30.-j
11.27.+d
Noncommutative gauge theory
Galilean symmetry
Vortices
gauge field theory: U(1)
fermion
nonrelativistic
invariance: Galilei

References(34)

Figures(0)

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