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Relativistic Particles and Commutator Algebras

W. F. Chagas-Filho
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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.

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W. F. Chagas-Filho. 2004-03-12. Relativistic Particles and Commutator Algebras. https://arxiv.org/abs/hep-th/0403136

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