The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity

Understand

We find the most general supersymmetric solutions of ungauged N=1,d=4 supergravity coupled to an arbitrary number of vector and chiral supermultiplets, which turn out to be essentially pp-waves and strings.

• We also introduce magnetic 1-forms and their supersymmetry transformations and 2-forms associated to the isometries of the scalar manifold and their supersymmetry transformations.
• Only the latter can couple to BPS objects (strings), in agreement with our results.