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

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

1999-12-20

arxiv.org/abs/hep-th/9912172v1

Theor.Math.Phys., 1998, V.116:(2), 947-955 (reduced version, title changed)

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, talk at the Int. Workshop "Quantum Groups, Deformations and Contractions", Istanbul, Turkey, September, 1997

Scientific paper

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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