N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
High Energy Physics - Theory
2011-11-30 v2
Abstract
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.
Cite
@article{arxiv.1012.2250,
title = {N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables},
author = {Stefano Bellucci and Sergey Krivonos and Anton Sutulin},
journal= {arXiv preprint arXiv:1012.2250},
year = {2011}
}
Comments
10 pages, LaTeX, no figures, PACS: 12.60.Jv, 03.65.-w, 11.30.Pb, reference added, minor corrections