Gauge theories and non-commutative geometry
arXiv:hep-th/0509055 · doi:10.1016/j.physletb.2005.10.081
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.
12 pages