Massive Relativistic Particle Models with Bosonic Counterpart of Supersymmetry

Details Massive Relativistic Particle Models with Bosonic Counterpart of Supersymmetry Massive Relativistic Particle Models with Bosonic Counterpart of Supersymmetry

2005-06-10

arxiv.org/abs/hep-th/0506086v2

Phys.Lett.B632:371-378,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 16 pages. v2: Sect. 3 (massless case) added. v2 will appear in PLB

Scientific paper

10.1016/j.physletb.2005.10.051

We consider the massive relativistic particle models on fourdimensional Minkowski space extended by $N$ commuting Weyl spinors for N=1 and N=2. The N=1 model is invariant under the most general form of bosonic counterpart of simple D=4 supersymmetry, and provides after quantization the bosonic counterpart of chiral superfields, satisfying Klein--Gordon equation. In massless case these fields do satisfy the Fierz-Pauli equations. For N=2 we obtain after quantization the free massive higher spin fields for arbitrary spin satisfying linear Bargman--Wigner equations. Finally the problem of statistics in presented framework for half--integer classical spin fields is discussed.

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