Connections and Generalized Gauge Transformations


Simon Davis


Research Report 99-20
Date: 20 September 1999


A principle based on the geometry of internal symmetry spaces is suggested to explain the types of gauge interactions that arise in the standard model. Elimination of the fibre coordinate from the transformation rule of the connection form implies that a Lie group structure is required for vector bosons in gauge theories and application of division algebras to force unification must begin with fermions comprising elementary particle multiplets. Constraints on the spinor spaces and the corresponding gauge groups are obtained, and consistency with higher-dimensional superstring theory is discussed.

Key phrases

connections. gauge groups. standard model. division algebras. force unification.

AMS Subject classification (1991)

Primary: 81T13
Secondary: 81T30, 81V22


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