D=4, N=2 gauged supergravity in the presence of tensor multiplets Original Research Article

Using superspace techniques we construct the general theory describing D=4, N=2 supergravity coupled to an arbitrary number of vector and scalar-tensor multiplets. The scalar manifold of the theory is the direct product of a special Kähler and a reduction of a quaternionic-Kähler manifold. We perform the electric gauging of a subgroup of the isometries of such manifold as well as “magnetic” deformations of the theory discussing the consistency conditions arising in this process. The resulting scalar potential is the sum of a symplectic invariant part (which in some instances can be recast into the standard form of the gauged N=2 theory) and of a non-invariant part both giving new deformations. We also show the relation of such theories to flux compactifications of type II string theories.