Non-semisimple gaugings of D=5 N=8 supergravity

The recent construction of the non-semisimple gaugings of maximal D = 5 sup ergravity is reported here. This construction is worked out in the so-calle d rheonomic approach, based on Free Differential Algebras and the solution of their Bianchi identities. In this approach the dualization mechanism bet ween one-forms and two-forms is more transparent. The lagrangian is unneces sary since the field equations follow from closure of the supersymmetry alg ebra. These theories contain 12 - r self-dual two-forms and 15 + r gauge ve ctors, r of which are abelian and neutral. Such theories, whose existence h as been proved and their supersymmetry algebra constructed, have potentiall y interesting proper ties in relation with domain wall solutions and the tr apping of gravity.