Massless higher spin D=4 superparticle with both N=1 supersymmetry and its bosonic counterpart

Abstract

We show that the massless higher spin four-dimensional particle model with bosonic counterpart of N=1 supersymmetry respects SU(3,2) invariance. We extend this particle model to a superparticle possessing $SU(3,2|1)$ supersymmetry which is a closure of standard four-dimensional N=1 superconformal symmetry $SU(2,2|1)$ and its bosonic SU(3,2) counterpart. The new massless higher spin D=4 superparticle model describes trajectories in Minkowski superspace $(x^{\mu },{\theta }^{\alpha },{\bar{\theta }}^{\dot{\alpha }})$ extended by the commuting Weyl spinor ${\zeta }^{\alpha }$, ${\bar{\zeta }}^{\dot{\alpha }}=({\zeta }^{\alpha }{)}^{\ast }$. We find the relevant phase space constraints and quantize the model. As a result of quantization we obtain the superwave function which describes an infinite sequence of four-dimensional massless chiral superfields with arbitrary external helicity indices.

arXiv commentLeTeX, 14 pages

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• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions
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