Twistors and the massive spinning particle

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

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Gauge-invariant twistor variables are found for the massive spinning particle with N -extended local worldline supersymmetry, in spacetime dimensions D = 3, 4, 6. The twistor action is manifestly Lorentz invariant but the anticommuting spin variables appear exactly as in the non-relativistic limit. This allows a simple confirmation that the quantum N= 2 spinning particle has either spin one or spin zero, and that N >2 is quantum inconsistent for D = 4, 6.

Original languageEnglish (US)
Article number025401
JournalJournal of Physics A: Mathematical and Theoretical
Issue number2
StatePublished - Jan 8 2016
Externally publishedYes


  • spin
  • supersymmetry
  • twisters

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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