Quantum Principal Bundles
High Energy Physics - Theory
2007-05-23 v1
Abstract
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).
Cite
@article{arxiv.hep-th/9311029,
title = {Quantum Principal Bundles},
author = {Mico Durdevic},
journal= {arXiv preprint arXiv:hep-th/9311029},
year = {2007}
}
Comments
10 pages, LaTex