Gauge theories and non-commutative geometry
High Energy Physics - Theory
2008-11-26 v1
Abstract
It is shown that a -dimensional classical SU(N) Yang-Mills theory can be formulated in a -dimensional space, with the extra two dimensions forming a surface with non-commutative geometry. In this paper we present an explicit proof for the case of the torus and the sphere.
Cite
@article{arxiv.hep-th/0509055,
title = {Gauge theories and non-commutative geometry},
author = {E. G. Floratos and J. Iliopoulos},
journal= {arXiv preprint arXiv:hep-th/0509055},
year = {2008}
}
Comments
12 pages