Axionic symmetry gaugings in N=4 supergravities and their higher-dimensional origin

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We study the class of four-dimensional N=4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries.

• We formulate these theories using the machinery of embedding tensors, characterize the full gauge algebras and discuss several specific features of this family of gauged supergravities.
• We exhibit in particular a generalized duality between massive vectors and massive two-forms in four dimensions, inherited from the gauging of the shift symmetry.
• We show that these theories can be deduced from higher dimensions by a Scherk-Schwarz reduction, where a twist with respect to a non-compact symmetry is required.