Supertwistors and massive particles

Luca Mezincescu, Alasdair J. Routh, Paul K. Townsend

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)66-90
Number of pages25
JournalAnnals of Physics
StatePublished - Jul 2014


  • Supersymmetry
  • Twistor

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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