Supersymmetry in the Non-Commutative Plane
arXiv:hep-th/0405271 · doi:10.1016/j.aop.2004.07.007
Abstract
The supersymmetric extension of a model introduced by Lukierski, Stichel and Zakrewski in the non-commutative plane is studied. The Noether charges associated to the symmetries are determined. Their Poisson algebra is investigated in the Ostrogradski--Dirac formalism for constrained Hamiltonian systems. It is shown to provide a supersymmetric generalization of the Galilei algebra with a two-dimensional central extension.
13 pages, no figures, the version for publication in Ann. Phys
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