Non relativistic SUSY in variants of the planar L\'evy-Leblond equation

Abstract

An N=2 SUSY extension of the Schr\"odinger symmetry is shown to exist in the solution space of the free planar L\'evy-Leblond equation, an N=1 part of which survives for the gauged version of the equation and also when it is coupled to Chern-Simons theory.

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