Abstract
Using the \( \mathcal{N} \) = 4, 1D harmonic superspace approach, we construct a new type of \( \mathcal{N} \) = 4 supersymmetric mechanics involving 4n-dimensional Quaternion-Kähler (QK) 1D sigma models as the bosonic core. The basic ingredients of our construction are local \( \mathcal{N} \) = 4,1D supersymmetry realized by the appropriate transformations in 1D harmonic superspace, the general \( \mathcal{N} \) = 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.
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ArXiv ePrint: 1709.02286
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Ivanov, E., Mezincescu, L. Quaternion-Kähler \( \mathcal{N} \) = 4 supersymmetric mechanics. J. High Energ. Phys. 2017, 16 (2017). https://doi.org/10.1007/JHEP12(2017)016
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DOI: https://doi.org/10.1007/JHEP12(2017)016