Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-27
JHEP 1002:103,2010
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, v2: minor changes and references added, v3: published version
Scientific paper
10.1007/JHEP02(2010)103
Using the embedding tensor formalism we give the general conditions for the existence of N=1 vacua in spontaneously broken N=2 supergravities. Our results confirm the necessity of having both electrically and magnetically charged multiplets in the spectrum, but also show that no further constraints on the special Kahler geometry of the vector multiplets arise. The quaternionic field space of the hypermultiplets must have two commuting isometries, and as an example we discuss the special quaternionic-Kahler geometries which appear in the low-energy limit of type II string theories. For these cases we find the general solution for stable Minkowski and AdS N=1 vacua, and determine the charges in terms of the holomorphic prepotentials. We find that the string theory realisation of the N=1 Minkowski vacua requires the presence of non-geometric fluxes, whereas they are not needed for the AdS vacua. We also argue that our results should hold in the presence of spacetime and worldsheet instanton corrections.
Louis Jan
Smyth Paul
Triendl Hagen
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