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arXiv · hep-th/0602198

Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations

J. Lukierski·I. Prochnicka·P. C. Stichel·W. J. Zakrzewski
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Abstract

We describe the general class of $N$-extended $D=(2+1)$ Galilean supersymmetries obtained, respectively, from the $N$-extended D=3 Poincaré superalgebras with maximal sets of central charges. We confirm the consistency of supersymmetry with the presence of the `exotic' second central charge $θ$. We show further how to introduce a N=2 Galilean superfield equation describing nonrelativistic spin 0 and spin 1/2 free particles.

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J. Lukierski, I. Prochnicka, P. C. Stichel, W. J. Zakrzewski. 2006-06-27. Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations. https://doi.org/10.1016/j.physletb.2006.06.007

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