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arxiv: hep-th/0602198 · v2 · submitted 2006-02-20 · ✦ hep-th

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Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations

J. Lukierski (Wroclaw Univ. Poland) , I. Prochnicka (Wroclaw Univ. Poland) , P.C. Stichel (Bielefeld , Germany) , W.J. Zakrzewski (University of Durham , UK)
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classification ✦ hep-th
keywords galileancentralexoticextendednonrelativisticspinsupersymmetriescharge
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We describe the general class of $N$-extended $D=(2+1)$ Galilean supersymmetries obtained, respectively, from the $N$-extended D=3 Poincar\'{e} superalgebras with maximal sets of central charges. We confirm the consistency of supersymmetry with the presence of the `exotic' second central charge $\theta$. 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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    Magnetic Carroll supersymmetry descends from a twisted relativistic parent rather than naive contraction, realized in 3D N=2 with vector multiplet action whose conformal extension matches global super-BMS4.