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Supertwistors and massive particles
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DOI：10.1016/j.aop.2014.04.007.png)
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Abstract
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In the (super)twistor formulation of massless (super)particle mechanics, the mass-shell constraint is replaced by a spin-shell constraint from which the spin content can be read off. We extend this formalism to massive (super)particles (with N-extended space-time supersymmetry) in three and four space-time dimensions, explaining how the spin-shell constraints are related to spin, and we use it to prove equivalence of the massive N = 1 and BPS-saturated N = 2 superparticle actions. We also find the supertwistor form of the action for spinning particles with N-extended worldline supersymmetry, massless in four dimensions and massive in three dimensions, and we show how this simplifies special features of the N = 2 case. (C) 2014 Elsevier Inc. All rights reserved.
Keywords:
Twistor
Supersymmetry
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