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arXiv · 1207.3004

N=2 vacua in Generalized Geometry

Mariana Graña·Francesco Orsi
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Abstract

We find the conditions on compactifications of type IIA to four-dimensional Minkowski space to preserve N=2 supersymmetry in the language of Exceptional Generalized Geometry (EGG) and Generalized Complex Geometry (GCG). In EGG, off-shell N =2 supersymmetry requires the existence of a pair of SU(2)_R singlet and triplet algebraic structures on the exceptional generalized tangent space that encode all the scalars (NS-NS and R-R) in vector and hypermultiplets respectively. We show that on shell N=2 requires, except for a single component, these structures to be closed under a derivative twisted by the NS-NS and R-R fluxes. We also derive the corresponding GCG-type equations for the two pairs of pure spinors that build up these structures.

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Mariana Graña, Francesco Orsi. 2012-07-12. N=2 vacua in Generalized Geometry. https://doi.org/10.1007/jhep11(2012)052

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