n=3 Differential calculus and gauge theory on a reduced quantum plane

M. El Baz; A. El Hassouni; Y. Hassouni; E. H. Zakkari

doi:10.1063/1.1598278

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arXiv · hep-th/0303216

n=3 Differential calculus and gauge theory on a reduced quantum plane

M. El Baz·A. El Hassouni·Y. Hassouni·E. H. Zakkari

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Abstract

We discuss the algebra of $N\times N$ matrices as a reduced quantum plane. A $3-$nilpotent deformed differential calculus involving a complex parameter $q$ is constructed. The two cases, $q$ $3^{rd}$ and $N^{th}$ root of unity are completely treated. As application, a gauge field theory for the particular cases $n=2$ and $n=3$ is established.

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M. El Baz, A. El Hassouni, Y. Hassouni, E. H. Zakkari. 2003-03-25. n=3 Differential calculus and gauge theory on a reduced quantum plane. https://doi.org/10.1063/1.1598278

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