Quantum Principal Bundles

Details Quantum Principal Bundles Quantum Principal Bundles

1993-11-04

arxiv.org/abs/hep-th/9311029v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTex

Scientific paper

A noncommutative-geometric generalization of the theory of principal bundles is sketched. A differential calculus over corresponding quantum principal bundles is analysed. The formalism of connections is presented. In particular, operators of covariant derivative and horizontal projection are described and analysed. Quantum counterparts for the Bianchi identity and the Weil's homomorphism are found. Illustrative examples are considered. (Lecture presented at the XXII-th Conference on Differential Geometric Methods in Theoretical Physics, Ixtapa-Zihuatanejo, Mexico, September 1993).

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