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 \( Sl\left(2;\ \mathbb{K}\right) \)-spinor formalism for \( \mathbb{K} = \mathbb{R},\mathbb{C},\kern0.1em \mathrm{\mathbb{H}} \) to unify our 4D results with previous results for 3D and 6D.
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Arvanitakis, A.S., Mezincescu, L. & Townsend, P.K. Pauli-Lubanski, supertwistors, and the superspinning particle. J. High Energ. Phys. 2017, 151 (2017). https://doi.org/10.1007/JHEP06(2017)151
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DOI: https://doi.org/10.1007/JHEP06(2017)151