Unitary spherical super-Landau models

Andrey Beylin, Thomas L. Curtright, Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


A Hilbert space metric is found for the SU(2|1)-invariant 'superflag' Landau models, parametrized by integer 2N′ and real number M, such that the Hilbert space norm is positive definite. The spectrum of these unitary super-Landau models is determined. The M = 0 case yields a unitary Landau model on the supersphere SU(2|1)/U(1|1) with U(1) charge 2N = 2N′+1. For the generic unitary superflag model, the manifest SU(2|1) symmetry is dynamically enhanced to SU(2|2); this is the 'spherical' analog of the hidden worldline supersymmetry found previously in the planar limit.

Original languageEnglish (US)
Article number069
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 1 2008
Externally publishedYes


  • Global symmetries
  • Non-commutative geometry
  • Sigma models
  • Superspaces

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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