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.
- Global symmetries
- Non-commutative geometry
- Sigma models
ASJC Scopus subject areas
- Nuclear and High Energy Physics