n=3 Differential calculus and gauge theory on a reduced quantum plane
M. El Baz, A. El Hassouni, Y. Hassouni, E. H. Zakkari
Abstract
We discuss the algebra of N× N matrices as a reduced quantum plane. A 3-nilpotent deformed differential calculus involving a complex parameter q is constructed. The two cases, q 3rd and Nth 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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