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General Matter Coupled N=4 Gauged Supergravity in Five Dimensions

Gianguido Dall'Agata·Carl Herrmann·Marco Zagermann
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Abstract

We construct the general form of matter coupled N=4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are present, they must be charged under a one-dimensional Abelian group and cannot transform non-trivially under any other part of the gauge group. A short analysis of the possible ground states of the different types of theories is given. It is found that AdS ground states are only possible when the gauge group is a direct product of a one-dimensional Abelian group and a semi-simple group. In the purely Abelian, as well as in the purely semi-simple gauging, at most Minkowski ground states are possible. The existence of such Minkowski ground states could be proven in the compact Abelian case.

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Gianguido Dall'Agata, Carl Herrmann, Marco Zagermann. 2001-08-30. General Matter Coupled N=4 Gauged Supergravity in Five Dimensions. https://doi.org/10.1016/s0550-3213(01)00367-4

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