Planar super-Landau models revisited

Thomas Curtright, Luca Mezincescu, Evgeny Ivanov, Paul K. Townsend

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


We use the methods of -symmetric quantum theory to find a one-parameter family of ISU(1|1)-invariant planar super-Landau models with positive norm, uncovering an 'accidental', and generically spontaneously-broken, worldline supersymmetry, with charges that have a Sugawara-type representation in terms of the ISU(1|1) charges. In contrast to standard models of supersymmetric quantum mechanics, it is the norms of states rather than their energies that are parameter-dependent, and the spectrum changes discontinuously in the limit that worldline supersymmetry is restored.

Original languageEnglish (US)
Article number020
JournalJournal of High Energy Physics
Issue number4
StatePublished - Apr 1 2007


  • Global symmetries
  • Integrable equations in physics
  • Superspaces
  • Supersymmetry breaking

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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