The Two-Parameter Higher Order Differential Calculus and Curvature on a Quantum Plane

Details The Two-Parameter Higher Order Differential Calculus and Curvature on a Quantum Plane The Two-Parameter Higher Order Differential Calculus and Curvature on a Quantum Plane

2003-12-19

arxiv.org/abs/hep-th/0312239v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

We construct an associative differential algebra on a two-parameter quantum
plane associated with a nilpotent endomorphism $d$ in the two cases $d^{2}=0$
and $d^3=0$ $(d^2\neq 0).$ The correspondent curvature is derived and the
related non commutative gauge field theory is introduced.

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