A super-flag landau model

Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations

Abstract

We consider the quantum mechanics of a particle on the coset superspace SU(2|1)/[U(1) × U(1)], which is a super-flag manifold with SU(2)/U(1) ≃ S2 ‘body’. By incorporating the Wess-Zumino terms associated with the U(1) × U(1) stability group, we obtain an exactly solvable super-generalization of the Landau model for a charged particle on the sphere. We solve this model using the factorization method. Remarkably, the physical Hilbert space is finite-dimensional because the number of admissible Landau levels is bounded by a combination of the U(1) charges. The level saturating the bound has a wavefunction in a shortened, degenerate, irrep of SU(2|1).

Original languageEnglish (US)
Title of host publicationFrom Fields to Strings
Subtitle of host publicationCircumnavigating Theoretical Physics: Ian Kogan Memorial Collection
PublisherWorld Scientific Publishing Co.
Pages2123-2146
Number of pages24
Volume1
ISBN (Electronic)9789812775344
ISBN (Print)9789812389558
DOIs
StatePublished - Jan 1 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Ivanov, E., Mezincescu, L., & Townsend, P. K. (2005). A super-flag landau model. In From Fields to Strings: Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection (Vol. 1, pp. 2123-2146). World Scientific Publishing Co.. https://doi.org/10.1142/9789812775344_0054