Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-28
Annals Phys. 314 (2004) 464-475
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, no figures, the version for publication in Ann. Phys
Scientific paper
10.1016/j.aop.2004.07.007
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.
Lapointe Luc
Ujino Hideaki
Vinet Luc
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