Relativistic Particles and Commutator Algebras
High Energy Physics - Theory
2007-05-23 v1
Abstract
We construct the vector fields associated to the space-time invariances of relativistic particle theory in flat Euclidean space-time. We show that the vector fields associated to the massive theory give rise to a differential operator realization of the Poincare algebra, while the vector fields associated to the massless theory, including the space-time supersymmetric sector, allow extensions of the conformal algebra in terms of commutators.
Cite
@article{arxiv.hep-th/0403136,
title = {Relativistic Particles and Commutator Algebras},
author = {W. F. Chagas-Filho},
journal= {arXiv preprint arXiv:hep-th/0403136},
year = {2007}
}
Comments
16 pages, no figures