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

dc.creatorPak, D. G.
dc.date1999-12-20
dc.date.accessioned2026-07-07T04:27:28Z
dc.date.available2026-07-07T04:27:28Z
dc.descriptionThree-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.
dc.description13 pages, talk at the Int. Workshop "Quantum Groups, Deformations and Contractions", Istanbul, Turkey, September, 1997
dc.identifierhttps://arxiv.org/abs/hep-th/9912172
dc.identifierhttp://arxiv.org/abs/hep-th/9912172
dc.identifierTheor.Math.Phys., 1998, V.116:(2), 947-955 (reduced version, title changed)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56433
dc.subjectHigh Energy Physics - Theory
dc.titleThree Dimensional Differential Calculus on the Quantum Group SU_q(2) and Minimal Gauge Theory
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