Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-07
Phys.Lett.B641:226-236,2006
Physics
High Energy Physics
High Energy Physics - Theory
LeTeX, 14 pages
Scientific paper
10.1016/j.physletb.2006.08.032
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.
Fedoruk Sergey
Ivanov Evgeny
Lukierski Jerzy
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