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

Abstract

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.

20 pages

References in corpus (5)

• Algebroid Yang-Mills Theories
• Three-cocycles, Nonassociative Gauge Transformations and Dirac's Monopole
• On angular momentum of gravitational radiation
• Nonassociativity, Dirac monopoles and Aharonov-Bohm effect
• Smooth Loops and Thomas Precession

Cited by in corpus (2)

• Nonassociative analogs of Lie groupoids
• The Frame Potential, on Average