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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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10.1002/psc.1081

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1029-8479

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Spontaneous mathcalN = 2 → mathcalN

Authors: Jan Louis Paul Smyth Hagen Triendl
Publish Date: 2010/03/02
Volume: 2010, Issue: 2, Pages: 103-
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Abstract

Using the embedding tensor formalism we give the general conditions for the existence of mathcalN = 1 vacua in spontaneously broken mathcalN = 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 Kähler 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 quaternionicKähler geometries which appear in the lowenergy limit of type II string theories For these cases we find the general solution for stable Minkowski and AdS mathcalN = 1 vacua and determine the charges in terms of the holomorphic prepotentials We find that the string theory realisation of the mathcalN = 1 Minkowski vacua requires the presence of nongeometric 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

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