Alternative approaches to the Casalbuoni-Brink-Schwarz Superparticle

Details Alternative approaches to the Casalbuoni-Brink-Schwarz Superparticle Alternative approaches to the Casalbuoni-Brink-Schwarz Superparticle

2000-05-31

arxiv.org/abs/hep-th/0005284v1

Annals Phys. 285 (2000) 237-263

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 31 pages, submitted to Annals of Physics (uses ajour documentclass file)

Scientific paper

10.1006/aphy.2000.6083

Wigner's method of induced representations is applied to the N=1 super-Poincare group, and by using a state corresponding to the basic vector of the little group as a Clifford vacuum we show that the spin operator of a supersymmetric point particle obeys Wigner's constraints. As dynamical variables for the particle we use canonical coordinates on the symmetry group manifold. The physical phase space is then constructed using a vielbein formalism. We find that the Casalbuoni-Brink-Schwarz superparticle appears as a special case of our general construction. Finally, the theory is reformulated as a gauge theory where the gauge freedom corresponds to the choice of spin constraints or, equivalently, the free choice of relativistic center of mass. In a special case the gauge symmetry reduces to the well known kappa-symmetry.

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