Pauli-Lubanski, Supertwistors, and the Superspinning Particle
arXiv:1601.05294 · doi:10.1007/JHEP06(2017)151
Abstract
We present a novel construction of the super-Pauli-Lubanski pseudo-vector for 4D supersymmetry and show how it arises naturally from the spin-shell constraints in the supertwistor formulation of superparticle dynamics. We illustrate this result in the context of a simple classical action for a "superspinning particle" of superspin 1/2. We then use an Sl(2;K)-spinor formalism for K=R,C,H to unify our 4D results with previous results for 3D and 6D (super)Pauli-Lubanski tensors.
23 pp. v4 is a modification of the rewritten v3 to include clarifications and additional references of the published version