SU(2) reductions in N=4 multidimensional 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 N=4 supersymmetric mechanics describing the motion of an isospin carrying particle interacting with a Yang monopole. We provide the Lagrangian and Hamiltonian descriptions of this system. Some possible generalizations of the action to the cases of systems with a more general bosonic action, a four-dimensional system which still includes eight fermionic components, and a variant of five-dimensional N=4 mechanics constructed with the help of the ordinary and twisted N=4 hypermultiplets were also considered.
Cite
@article{arxiv.1006.0376,
title = {SU(2) reductions in N=4 multidimensional supersymmetric mechanics},
author = {Stefano Bellucci and Sergey Krivonos and Anton Sutulin},
journal= {arXiv preprint arXiv:1006.0376},
year = {2015}
}
Comments
11 pages, LaTeX file, no figures; 3 references added, minor corrections