Planar super-Landau models

Evgeny Ivanov, Alexandru Mezincescu, Paul K. Townsend

Research output: Contribution to journalArticle

19 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)3669-3691
Number of pages23
JournalJournal of High Energy Physics
Issue number1
DOIs
StatePublished - 2006

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ghosts
gauge invariance
Hilbert space
integers
tensors
symmetry
products

Keywords

  • Integrable Equations in Physics
  • Superspaces

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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

In: Journal of High Energy Physics, No. 1, 2006, p. 3669-3691.

Research output: Contribution to journalArticle

Ivanov, Evgeny ; Mezincescu, Alexandru ; Townsend, Paul K. / Planar super-Landau models. In: Journal of High Energy Physics. 2006 ; No. 1. pp. 3669-3691.
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