Unitary spherical super-Landau models

Andrey Beylin, Thomas L. Curtright, Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

A Hilbert space metric is found for the SU(2|1)-invariant 'superflag' Landau models, parametrized by integer 2N′ and real number M, such that the Hilbert space norm is positive definite. The spectrum of these unitary super-Landau models is determined. The M = 0 case yields a unitary Landau model on the supersphere SU(2|1)/U(1|1) with U(1) charge 2N = 2N′+1. For the generic unitary superflag model, the manifest SU(2|1) symmetry is dynamically enhanced to SU(2|2); this is the 'spherical' analog of the hidden worldline supersymmetry found previously in the planar limit.

Original languageEnglish (US)
Article number069
JournalJournal of High Energy Physics
Volume2008
Issue number10
DOIs
StatePublished - Oct 1 2008

Keywords

  • Global symmetries
  • Non-commutative geometry
  • Sigma models
  • Superspaces

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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