N = 4, d = 1 Supersymmetric Hyper-Kähler Sigma Models and Non-Abelian Monopole Background
DOI:
https://doi.org/10.14311/1346Keywords:
supersymmetric mechanics, Hyper-Kähler spaces, non-Abelian gauge fieldsAbstract
We construct a Lagrangian formulation of N = 4 supersymmetric mechanics with hyper-Kähler sigma models in a bosonic sector in a non-Abelian background gauge field. The resulting action includes a wide class of N = 4 supersymmetric mechanics describing the motion of an isospin-carrying particle over spaces with non-trivial geometry. In two examples that we discuss in details, the background fields are identified with the field of BPST instantons in flat and Taub-NUTspaces.
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