Options for Gauge Groups in Five-Dimensional Supergravity

Details Options for Gauge Groups in Five-Dimensional Supergravity Options for Gauge Groups in Five-Dimensional Supergravity

2001-08-14

arxiv.org/abs/hep-th/0108094v1

JHEP 0111:024,2001

Physics

High Energy Physics

High Energy Physics - Theory

33 pages LaTeX

Scientific paper

10.1088/1126-6708/2001/11/024

Motivated by the possibility that physics may be effectively five-dimensional over some range of distance scales, we study the possible gaugings of five-dimensional N=2 supergravity. Using a constructive approach, we derive the conditions that must be satisfied by the scalar fields in the vector, tensor and hypermultiplets if a given global symmetry is to be gaugeable. We classify all those theories that admit the gauging of a compact group that is either Abelian or semi-simple, or a direct product of a semi-simple and an Abelian group. In the absence of tensor multiplets, either the gauge group must be semi-simple or the Abelian part has to be U(1)_R and/or an Abelian isometry of the hyperscalar manifold. On the other hand, in the presence of tensor multiplets the gauge group cannot be semi-simple. As an illustrative exercise, we show how the Standard Model SU(3) X SU(2) X U(1) group may be gauged in five-dimensional N=2 supergravity. We also show how previous special results may be recovered within our general formalism.

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