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arxiv: 1601.05294 · v4 · pith:JBTPQSDMnew · submitted 2016-01-20 · ✦ hep-th · math-ph· math.MP

Pauli-Lubanski, Supertwistors, and the Superspinning Particle

Alex S. Arvanitakis , Luca Mezincescu , Paul K. Townsend This is my paper
classification ✦ hep-th math-phmath.MP
keywords particlepauli-lubanskiresultssuperspinningactionarisesclassicalconstraints
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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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