### Abstract

In previous papers we solved the Landau problems, indexed by 2M, for a particle on the "superflag" SU(2|1)/[U(1) × U(1)], the M ≤ 0 case being equivalent to the Landau problem for a particle on the "supersphere" SU(2|1)/[U(1|1)]. Here we solve these models in the planar limit. For M ≤ 0 we have a particle on the complex superplane ℂ^{(1|1)}; its Hilbert space is the tensor product of that of the Landau model with the 4-state space of a ''fermionic'' Landau model. Only the lowest level is ghost-free, but for M > 0 there are no ghosts in the first [2M]+1 levels. When 2M is an integer, the (2M+1)th level states form short supermultiplets as a consequence of a fermionic gauge invariance analogous to the ''kappa-symmetry'' of the superparticle.

Original language | English (US) |
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Pages (from-to) | 3669-3691 |

Number of pages | 23 |

Journal | Journal of High Energy Physics |

Issue number | 1 |

DOIs | |

State | Published - Apr 10 2006 |

### Keywords

- Integrable Equations in Physics
- Superspaces

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Journal of High Energy Physics*, (1), 3669-3691. https://doi.org/10.1088/1126-6708/2006/01/143