Three Dimensional Differential Calculus on the Quantum Group SUq(2) and Minimal Gauge Theory
Abstract
Three-dimensional bicovariant differential calculus on the quantum group SUq(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 SUq(2) is uniquely defined. A non-standard Leibnitz rule is proposed for the exterior differential. The minimal gauge theory with SUq(2) quantum group symmetry is considered.
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