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arXiv · hep-th/0405271

Supersymmetry in the Non-Commutative Plane

Luc Lapointe·Hideaki Ujino·Luc Vinet
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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.

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Luc Lapointe, Hideaki Ujino, Luc Vinet. 2004-07-30. Supersymmetry in the Non-Commutative Plane. https://doi.org/10.1016/j.aop.2004.07.007

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