Non-Relativistic Conformal and Supersymmetries

Physics – High Energy Physics – High Energy Physics - Theory

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5 pages, published in the Proceedings of the XXI Int. Conf. on Diff. Geom. Meths. in Theor. Phys., Tianjin'1992. Reference lis

Scientific paper

Non-relativistic conformal (''Schr\"odinger'') symmetry is derived in a
Kaluza-Klein type framework. Lightlike reduction of the massless Dirac equation
from 5D Minkowski space yields L\'evy-Leblond's non-relativistic equation for a
spin 1/2 particle. Combining with the osp(1,1) SUSY found before provides us
with a super-Schr\"odinger symmetry.

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