Second Hopf map and supersymmetric mechanics with Yang monopole
High Energy Physics - Theory
2009-09-02 v2
Abstract
We propose to use the second Hopf map for the reduction (via SU(2) group action) of the eight-dimensional N=8 supersymmetric mechanics to five-dimensional supersymmetric systems specified by the presence of an SU(2) Yang monopole. For our purpose we develop the relevant Lagrangian reduction procedure. The reduced system is characterized by its invariance under the N=5 or N=4 supersymmetry generators (with or without an additional conserved BRST charge operator) which commute with the su(2) generators.
Keywords
Cite
@article{arxiv.0902.2682,
title = {Second Hopf map and supersymmetric mechanics with Yang monopole},
author = {M. Gonzales and Z. Kuznetsova and A. Nersessian and F. Toppan and V. Yeghikyan},
journal= {arXiv preprint arXiv:0902.2682},
year = {2009}
}
Comments
Final version. To appear in Phys. Rev. D