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

被引:0
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作者
M. El Baz
A. El Hassouni
Y. Hassouni
E. H. Zakkari
机构
[1] University Mohammed V,Laboratory of theoretical physics
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关键词
02.20.Uw; 02.40.Gh; Higher-order non-commutative differential calculi; two-parameter quantum plane; curvature; gauge theory;
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摘要
We construct an associative differential algebra on a two-parameter quantum plane associated with a nilpotent endomorphism d in the two cases d2 = 0 and d3 = 0 (d2 ≠ 0). The correspondent curvature is derived and the related non-commutative gauge field theory is introduced.
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页码:651 / 662
页数:11
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