Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations
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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 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.
LaTeX, 15 pages, version which appears in PLB
LaTeX, 15 pages, version which appears in PLB