### Abstract

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 ℍH^{n} = Sp(1, n)/[Sp(1) × Sp(n)] and ℍP^{n} = 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 language | English (US) |
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Article number | 16 |

Journal | Journal of High Energy Physics |

Volume | 2017 |

Issue number | 12 |

DOIs | |

State | Published - Dec 1 2017 |

### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Journal of High Energy Physics*,

*2017*(12), [16]. https://doi.org/10.1007/JHEP12(2017)016