N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
Abstract
We provide a Lagrangian formulation of supersymmetric mechanics describing the motion of an isospin carrying particle on conformal to hyper-K\"ahler 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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