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arXiv · 1601.05294

Pauli-Lubanski, Supertwistors, and the Superspinning Particle

Alex S. Arvanitakis·Luca Mezincescu·Paul K. Townsend
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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.

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Alex S. Arvanitakis, Luca Mezincescu, Paul K. Townsend. 2017-06-28. Pauli-Lubanski, Supertwistors, and the Superspinning Particle. https://doi.org/10.1007/jhep06(2017)151

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