Gauge theories and non-commutative geometry

Details Gauge theories and non-commutative geometry Gauge theories and non-commutative geometry

2005-09-08

arxiv.org/abs/hep-th/0509055v1

Phys.Lett.B632:566-570,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/j.physletb.2005.10.081

It is shown that a $d$-dimensional classical SU(N) Yang-Mills theory can be
formulated in a $d+2$-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.

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