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arxiv: hep-th/0404221 · v1 · submitted 2004-04-28 · ✦ hep-th

Gauge theories formulated on surfaces with non-commutative geometry

classification ✦ hep-th
keywords geometrynon-commutativetheoriesd-dimensionaldimensionaldimensionsequivalenceexpansion
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We propose a formulation of d-dimensional SU(N) Yang-Mills theories on a d+2-dimensional space with the extra two dimensions forming a surface with non-commutative geometry. This equivalence is valid in any finite order in the 1/N expansion.

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