Relativistic Particles and Commutator Algebras
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.
- Pub Date:
- March 2004
- High Energy Physics - Theory
- 16 pages, no figures