Pauli-Lubanski, supertwistors, and the superspinning particle

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

doi:10.1007/JHEP06(2017)151

Pauli-Lubanski, supertwistors, and the superspinning particle

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

Physics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Article number	151
Journal	Journal of High Energy Physics
Volume	2017
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2017)151
State	Published - Jun 1 2017

Keywords

Extended Supersymmetry
Superspaces

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP06(2017)151

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title = "Pauli-Lubanski, supertwistors, and the superspinning particle",

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.",

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AB - 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.

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KW - Superspaces

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ER -

Pauli-Lubanski, supertwistors, and the superspinning particle

Abstract

Keywords

ASJC Scopus subject areas

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