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

2006/06/07 by Sergey Fedoruk, S. Fedoruk, Evgeny Ivanov +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/j.physletb.2006.08.032

published as Phys.Lett.B641:226-236,2006 · LeTeX, 14 pages

arxiv created 2006/06/07 · openalex publication_date 2006/08/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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^μ, θ^α, θ^α) extended by the commuting Weyl spinor ζ^α, ζ^α=(ζ^α)^∗. 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.

Citations

• Twistor theory: An approach to the quantisation of fields and space-time