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Using the embedding tensor formalism we give the general conditions for theexistence of N=1 vacua in spontaneously broken N=2 supergravities. Our resultsconfirm the necessity of having both electrically and magnetically chargedmultiplets in the spectrum, but also show that no further constraints on thespecial Kahler geometry of the vector multiplets arise. The quaternionic fieldspace of the hypermultiplets must have two commuting isometries, and as anexample we discuss the special quaternionic-Kahler geometries which appear inthe low-energy limit of type II string theories. For these cases we find thegeneral solution for stable Minkowski and AdS N=1 vacua, and determine thecharges in terms of the holomorphic prepotentials. We find that the stringtheory realisation of the N=1 Minkowski vacua requires the presence ofnon-geometric fluxes, whereas they are not needed for the AdS vacua. We alsoargue that our results should hold in the presence of spacetime and worldsheetinstanton corrections.

Spontaneous N=2 to N=1 Supersymmetry Breaking in Supergravity and Type II String Theory