Three Dimensional Differential Calculus on the Quantum Group SU_q(2) and Minimal Gauge Theory
High Energy Physics - Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9912172,
title = {Three Dimensional Differential Calculus on the Quantum Group SU_q(2) and Minimal Gauge Theory},
author = {D. G. Pak},
journal= {arXiv preprint arXiv:hep-th/9912172},
year = {2007}
}
Comments
13 pages, talk at the Int. Workshop "Quantum Groups, Deformations and Contractions", Istanbul, Turkey, September, 1997