Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-04
Phys.Rev.D73:046008,2006
Physics
High Energy Physics
High Energy Physics - Theory
20 pages;changes in the nomenclature
Scientific paper
10.1103/PhysRevD.73.046008
We present the complete set of $N=1$, $D=4$ quantum algebras associated to massive superparticles. We obtain the explicit solution of these algebras realized in terms of unconstrained operators acting on the Hilbert space of superfields. These solutions are expressed using the chiral, anti-chiral and tensorial projectors which define the three irreducible representations of the supersymmetry on the superfields. In each case the space-time variables are non-commuting and their commutators are proportional to the internal angular momentum of the representation. The quantum algebra associated to the chiral or the anti-chiral projector is the one obtained by the quantization of the Casalbuoni-Brink-Schwarz (superspin 0) massive superparticle. We present a new superparticle action for the (superspin 1/2) case and show that their wave functions are the ones associated to the irreducible tensor multiplet.
Hatcher Nicolás
Restuccia Alvaro
Stephany Jorge
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