2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/178075It 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.12 pagesHigh Energy Physics - TheoryGauge theories and non-commutative geometrytext