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

TL;DR

This paper develops a massless higher spin superparticle model in four dimensions with extended supersymmetry and SU(3,2) invariance, leading to a superwave function describing an infinite sequence of massless chiral superfields.

Contribution

It introduces a novel superparticle model with SU(3,2|1) supersymmetry, extending standard N=1 superconformal symmetry and providing a new framework for higher spin theories.

Findings

Model respects SU(3,2) invariance

Quantization yields superwave functions for infinite massless superfields

Extends superparticle models to include higher spin states

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.