Noncommutative planar particles: higher order versus first order formalism and supersymmetrization
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We describe the supersymmetrization of two formulations of free noncommutative planar particles -- in coordinate space with higher order Lagrangian [1] and in the framework of Faddeev and Jackiw [2,3], with first order action. In nonsupersymmetric case the first formulation after imposing subsidiary condition eliminating internal degrees of freedom provides the second formulation. In supersymmetric case one can also introduce the split into ``external'' and ``internal'' degrees of freedom both describing supersymmetric models.
LaTeX, 6 pages, to appear in "Group24: Physical and Mathematical Aspects of Symmetry", the Proceedings of Group24 XXIV-th International Colloqium on Group-Theoretic Methods in Physics, Paris, 15 21.07.2002, Ed. J.P. Gazeau, R. Kerner et. al. IOP Publishing House, Bristol, 2002
LaTeX, 6 pages, to appear in "Group24: Physical and Mathematical Aspects of Symmetry", the Proceedings of Group24 XXIV-th International Colloqium on Group-Theoretic Methods in Physics, Paris, 15 21.07.2002, Ed. J.P. Gazeau, R. Kerner et. al. IOP Publishing House, Bristol, 2002