Non-Relativistic Conformal and Supersymmetries
High Energy Physics - Theory
2008-11-26 v1
Abstract
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.
Cite
@article{arxiv.0807.0513,
title = {Non-Relativistic Conformal and Supersymmetries},
author = {P. A. Horvathy},
journal= {arXiv preprint arXiv:0807.0513},
year = {2008}
}
Comments
5 pages, published in the Proceedings of the XXI Int. Conf. on Diff. Geom. Meths. in Theor. Phys., Tianjin'1992. Reference list updated