Noncommutativity vs gauge symmetry
High Energy Physics - Theory
2007-05-23 v2
Abstract
In many aspects the most complicated noncommutative spaces correspond to foliated manifolds with nonvanishing Godbillon-Vey class. We argue that gauge invariance probably prevents a foliated manifold from creating resilient leaves and thus resulting in having nonvanishing GV-class. So these spaces which are of the highest noncommutativity are not likely to appear in gauge theories.
Cite
@article{arxiv.hep-th/0303158,
title = {Noncommutativity vs gauge symmetry},
author = {I. P. Zois},
journal= {arXiv preprint arXiv:hep-th/0303158},
year = {2007}
}
Comments
16 pages, tex, version accepted for publication