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

摘要

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 vertical bar 1) supersymmetry which is a closure of standard four-dimensional N = I superconformal symmetry SU(2, 2 vertical bar 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), (theta) over bar ((alpha) over circle)) extended by the commuting Weyl spinor zeta(alpha),(zeta) over bar ((alpha) over circle) = (zeta(alpha))*. We find the relevant phase space constraints and quantize the model. As a result of quantization we obtain the superwave function which encompasses an infinite sequence of massless chiral higher spin superfield strengths. The requirement of superconformal SU(3, 211) covariance gives rise to a simple set of superfield equations of motion for the superwave function. (c) 2006 Elsevier B.V. All rights reserved.