Smooth Loops and Fiber Bundles: Theory of Principal Q-bundles

Details Smooth Loops and Fiber Bundles: Theory of Principal Q-bundles Smooth Loops and Fiber Bundles: Theory of Principal Q-bundles

2008-06-08

arxiv.org/abs/0806.1339v1

International Journal of Geometric Methods in Modern Physics, Vol. 6, 77 - 97 (2009)

Mathematics

Differential Geometry

20 pages

Scientific paper

10.1142/S0219887809003412

A nonassociative generalization of the principal fiber bundles with a smooth
loop mapping on the fiber is presented. Our approach allows us to construct a
new kind of gauge theories that involve higher ''nonassociative'' symmetries.

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