Electric-magnetic deformations of D = 4 gauged supergravities

We discuss duality orbits and symplectic deformations of d = 4 gauged supergravity theories, with focus on $$ mathcal{n} $$ ≥ 2. we provide a general constructive framework for computing symplectic deformations starting from a reference gauging, and apply it to many interesting examples. we prove that no continuous deformations are allowed for fayet-iliopoulos gaugings of the $$ mathcal{n} $$ = 2 stu model and in particular that any ω deformation is classically trivial. we further show that although in the $$ mathcal{n} $$ = 6 truncation of so(8) maximal supergravity the ω parameter can be dualized away, in the ‘twin’ $$ mathcal{n} $$ = 2 truncation ω is preserved and a second, new deformation appears. we further provide a full classification and appropriate duality orbits of certain $$ mathcal{n} $$ = 4 gauged supergravities, including all inequivalent so(4)2 gaugings and several non-compact forms.