Electric and magnetic charges in N=2 conformal supergravity theories

General Lagrangians are constructed for N = 2 conformal supergravity theories in four space-time dimensions involving gauge groups with abelian and/or non-abelian electric and magnetic charges. The charges are encoded in the gauge group embedding, tensor.. The scalar potential induced by the gauge interactions is quadratic in this tensor, and, when the embedding tensor is treated as a spurionic quantity, it is formally covariant with respect to electric/magnetic duality. This work establishes a general framework for studying any deformation induced by gauge interactions of matter-coupled N = 2 supergravity theories. As an application, full and residual supersymmetry realizations in maximally symmetric space-times are reviewed. Furthermore, a general classification is presented of supersyrnmetric solutions in AdS(2) x S-2 space-times. As it turns out, these solutions allow either eight or four supersymmetries. With four supersyrnmetries, the spinorial parameters are Killing spinors of AdS(2) that are constant on S-2 so that they carry no spin, while the bosonic background is rotationally invariant.