Supersymmetry in the Non-Commutative Plane
High Energy Physics - Theory
2009-11-10 v3
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.
Cite
@article{arxiv.hep-th/0405271,
title = {Supersymmetry in the Non-Commutative Plane},
author = {Luc Lapointe and Hideaki Ujino and Luc Vinet},
journal= {arXiv preprint arXiv:hep-th/0405271},
year = {2009}
}
Comments
13 pages, no figures, the version for publication in Ann. Phys