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Supertwistors and massive particles

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arxiv 1312.2768 v3 pith:QSAK4UDW submitted 2013-12-10 hep-th math-phmath.MP

Luca Mezincescu , Alasdair J. Routh , Paul K. Townsend This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords massivedimensionsparticlessuperconstraintfourmasslessn-extended
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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 spacetime 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Inhomogeneous transformations in a gauged twistor formulation of a massive particle

    hep-th 2024-11 reject novelty 6.0 of 10

    By extending local U(2) to IU(2) and letting h and \bar h transform as gauge fields, the paper claims that the mass-shell constraints of the Deguchi-Okano twistor action are required by symmetry rather than inserted by hand.

  2. Embedding formalism for anti-de Sitter superspaces

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.

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