A unified approach to the gauging of space-time and internal symmetries (Q1093198)

In this paper, the properties of the manifold of a Lie group G, fibered by the cosets of a subgroup H, are exploited to obtain a geometrical description of a gauge theory in space-time G/H. Gauge potentials and matter fields are pullbacks of equivariant fields on G. The underlying group G to be gauged is the group G of the let translations on the manifold G and is associated with a trivial connection, namely the Maurer-Cartan form. Gauge transformations are all those diffeomorphisms on G that preserve the fiber-bundle structure.