Gauge theories and non-commutative geometry
classification
✦ hep-th
keywords
dimensionalgeometrynon-commutativecaseclassicaldimensionsexplicitextra
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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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