N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models and Non-Abelian Monopole Background

Details N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models and Non-Abelian Monopole Background N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models and Non-Abelian Monopole Background

2010-06-24

arxiv.org/abs/1006.4770v3

JHEP 1102 (2011) 038

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, no figures, PACS: 12.60.Jv, 03.65.-w, 11.30.Pb, 14.80.Hv; Talk, it will be published in the proceedings of th

Scientific paper

We construct a Lagrangian formulation of \Nf supersymmetric mechanics with hyper-K\"{a}hler sigma models in a bosonic sector in the non-Abelian background gauge field. The resulting action includes a wide class of \Nf supersymmetric mechanics describing the motion of an isospin-carrying particle over spaces with non-trivial geometry. In two examples we discuss in details, the background fields are identified with the field of BPST instantons in the flat and Taub-NUT spaces.

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