### 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) |
---|---|

Pages (from-to) | 3669-3691 |

Number of pages | 23 |

Journal | Journal of High Energy Physics |

Issue number | 1 |

DOIs | |

State | Published - 2006 |

### Fingerprint

### Keywords

- Integrable Equations in Physics
- Superspaces

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

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

**Planar super-Landau models.** / Ivanov, Evgeny; Mezincescu, Alexandru; Townsend, Paul K.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, no. 1, pp. 3669-3691. https://doi.org/10.1088/1126-6708/2006/01/143

}

TY - JOUR

T1 - Planar super-Landau models

AU - Ivanov, Evgeny

AU - Mezincescu, Alexandru

AU - Townsend, Paul K.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - Integrable Equations in Physics

KW - Superspaces

UR - http://www.scopus.com/inward/record.url?scp=33645529295&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645529295&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2006/01/143

DO - 10.1088/1126-6708/2006/01/143

M3 - Article

AN - SCOPUS:33645529295

SP - 3669

EP - 3691

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 1

ER -