Pauli-Lubanski, supertwistors, and the superspinning particle

Abstract

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 S l 2 ; K $$ Sl\left(2;\ \mathbb{K}\right) $$ -spinor formalism for K = ℝ , ℂ , ℍ $$ \mathbb{K} = \mathbb{R},\mathbb{C},\kern0.1em \mathrm{\mathbb{H}} $$ to unify our 4D results with previous results for 3D and 6D.

Keywords

• Superspaces
• Extended Supersymmetry