Five-dimensional N=4 supersymmetric mechanics

Abstract

We perform an $su(2)$ Hamiltonian reduction in the bosonic sector of the $su(2)$-invariant action for two free $(4,4,0)$ supermultiplets. As a result, we get the five dimensional \Nf supersymmetric mechanics describing the motion of an isospin carrying particle interacting with a Yang monopole. Some possible generalizations of the action to the cases of systems with a more general bosonic action constructed with the help of the ordinary and twisted \Nf hypermultiplets are considered.

8 pages, LaTeX, no figures, PACS: 12.60.Jv, 03.65.-w, 11.30.Pb; 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