# Connections and Generalized Gauge Transformations

## Author

**Simon Davis**

## Status

Research Report 99-20

Date: 20 September 1999

## Abstract

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

## Content

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