/ 99 12 17 2 v 1 2 0 D ec 1 99 9 Three Dimensional Differential Calculus on the Quantum Group SU q ( 2 ) and Minimal Gauge Theory
نویسنده
چکیده
Three-dimensional bicovariant differential calculus on the quantum group SU q (2) is constructed using the approach based on global covariance under the action of the stabilizing subgroup U (1). Explicit representations of possible q-deformed Lie algebras are obtained in terms of differential operators. The consistent gauge covariant differential calculus on SU q (2) is uniquely defined. A non-standard Leibnitz rule is proposed for the exterior differential. Minimal gauge theory with SU q (2) quantum group symmetry is considered.
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