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Three Dimensional Differential Calculus on the Quantum Group SU_q(2) and Minimal Gauge Theory

D. G. Pak
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Abstract

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. The minimal gauge theory with SU_q(2) quantum group symmetry is considered.

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D. G. Pak. 1999-12-20. Three Dimensional Differential Calculus on the Quantum Group SU_q(2) and Minimal Gauge Theory. https://arxiv.org/abs/hep-th/9912172

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