N=2 vacua in Generalized Geometry
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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Cite
@article{arxiv.1207.3004,
title = {N=2 vacua in Generalized Geometry},
author = {Mariana Graña and Francesco Orsi},
journal= {arXiv preprint arXiv:1207.3004},
year = {2015}
}
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34 pages