N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models and Non-Abelian Monopole Background
High Energy Physics - Theory
2012-03-22 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1006.4770,
title = {N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models and Non-Abelian Monopole Background},
author = {Stefano Bellucci and Sergey Krivonos and Anton Sutulin},
journal= {arXiv preprint arXiv:1006.4770},
year = {2012}
}
Comments
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 the XIX International Colloquium "Integrable Systems and Quantum Symmetries", Prague, 17-19 June 2010; reference added, minor corrections