Smooth Loops and Fiber Bundles: Theory of Principal Q-bundles
classification
🧮 math.DG
gr-qchep-thmath-phmath.MP
keywords
fiberbundlesnonassociativeprincipalsmoothallowsapproachconstruct
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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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