Generalized N = 2 super Landau models

Andrey Beylin, Thomas Curtright, Evgeny Ivanov, Luca Mezincescua

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We generalize previous results for the superplane Landau model to exhibit an explicit worldline N = 2 supersymmetry for an arbitrary magnetic field on any twodimensional manifold. Starting from an off-shell N = 2 superfield formalism, we discuss the quantization procedure in the general case characterized by two independent potentials on the manifold and show that the relevant Hamiltonians are factorizable. In the restricted case, when both the Gauss curvature and the magnetic field are constant over the manifold and, as a consequence, the underlying potentials are related, the Hamiltonians admit infinite series of factorization chains implying the integrability of the associated systems. We explicitly determine the spectrum and eigenvectors for the particular model with CP 1 as the bosonic manifold.

Original languageEnglish (US)
Article number091
JournalJournal of High Energy Physics
Volume2010
Issue number4
DOIs
StatePublished - 2010

Fingerprint

magnetic fields
factorization
supersymmetry
eigenvectors
curvature
formalism

Keywords

  • Field Theories in Lower Dimensions
  • Integrable Equations in Physics
  • Sigma Models
  • Superspaces

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Generalized N = 2 super Landau models. / Beylin, Andrey; Curtright, Thomas; Ivanov, Evgeny; Mezincescua, Luca.

In: Journal of High Energy Physics, Vol. 2010, No. 4, 091, 2010.

Research output: Contribution to journalArticle

Beylin, Andrey ; Curtright, Thomas ; Ivanov, Evgeny ; Mezincescua, Luca. / Generalized N = 2 super Landau models. In: Journal of High Energy Physics. 2010 ; Vol. 2010, No. 4.
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