N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

10 pages, LaTeX, no figures, PACS: 12.60.Jv, 03.65.-w, 11.30.Pb, reference added, minor corrections

Scientific paper

10.1007/JHEP02(2011)038

We provide a Lagrangian formulation of \Nf supersymmetric mechanics
describing the motion of an isospin carrying particle on conformal to
hyper-K\"{a}hler spaces in a non-Abelian background gauge field. In two
examples we discuss in details, this background field is identified with the
field of BPST instantons in the flat and Taub-NUT spaces.

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