Relativistic Particles and Commutator Algebras

Details Relativistic Particles and Commutator Algebras Relativistic Particles and Commutator Algebras

2004-03-12

arxiv.org/abs/hep-th/0403136v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures

Scientific paper

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.

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