Dimensional Reduction over Fuzzy Coset Spaces
High Energy Physics - Theory
2009-11-10 v3 High Energy Physics - Phenomenology
Abstract
We examine gauge theories on Minkowski space-time times fuzzy coset spaces. This means that the extra space dimensions instead of being a continuous coset space S/R are a corresponding finite matrix approximation. The gauge theory defined on this non-commutative setup is reduced to four dimensions and the rules of the corresponding dimensional reduction are established. We investigate in particular the case of the fuzzy sphere including the dimensional reduction of fermion fields.
Cite
@article{arxiv.hep-th/0310072,
title = {Dimensional Reduction over Fuzzy Coset Spaces},
author = {P. Aschieri and J. Madore and P. Manousselis and G. Zoupanos},
journal= {arXiv preprint arXiv:hep-th/0310072},
year = {2009}
}
Comments
Latex, 23 pages, 1 reference added, 1 reference updated. Final version, improved presentation and organization of the paper, in particular Section 3.1