Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations
Abstract
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 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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