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arXiv · hep-th/0108094

Options for Gauge Groups in Five-Dimensional Supergravity

John Ellis·Murat Gunaydin·Marco Zagermann
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Abstract

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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John Ellis, Murat Gunaydin, Marco Zagermann. 2001-08-14. Options for Gauge Groups in Five-Dimensional Supergravity. https://doi.org/10.1088/1126-6708%2F2001%2F11%2F024

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