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

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

2003-03-25

arxiv.org/abs/hep-th/0303216v1

J.Math.Phys. 44 (2003) 4784-4794

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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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