Gauge theories and non-commutative geometry

DOI10.1016/J.PHYSLETB.2005.10.081zbMATH Open1247.81525arXivhep-th/0509055OpenAlexW2147931616MaRDI QIDQ453931

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Publication date: 30 September 2012

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/hep-th/0509055

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