Quaternion-Kähler N = 4 supersymmetric mechanics

Evgeny Ivanov, Luca Mezincescu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Using the N = 4, 1D harmonic superspace approach, we construct a new type of N = 4 supersymmetric mechanics involving 4n-dimensional Quaternion-Kähler (QK) 1D sigma models as the bosonic core. The basic ingredients of our construction are localN = 4,1D supersymmetry realized by the appropriate transformations in 1D harmonic superspace, the general N = 4, 1D superfield vielbein and a set of 2(n + 1) analytic “matter” superfields representing (n + 1) off-shell supermultiplets (4, 4, 0). Both superfield and component actions are given for the simplest QK models with the manifolds ℍHn = Sp(1, n)/[Sp(1) × Sp(n)] and ℍPn = Sp(1 + n)/[Sp(1) × Sp(n)] as the bosonic targets. For the general case the relevant superfield action and constraints on the (4, 4, 0) “matter” superfields are presented. Further generalizations are briefly discussed.

Original languageEnglish (US)
Article number16
JournalJournal of High Energy Physics
Issue number12
StatePublished - Dec 1 2017


  • Differential and Algebraic Geometry
  • Extended Supersymmetry
  • Gauge Symmetry
  • Superspaces

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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