Galilean noncommutative gauge theory: symmetries & vortices

P. A. Horvathy (1) , L. Martina , P. C. Stichel

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

P. A. Horvathy, L. Martina, P. C. Stichel. Galilean noncommutative gauge theory: symmetries & vortices. Nuclear Physics B, 2003, 673, pp.301-318. ⟨hal-00007551⟩