English

N=2 vacua in Generalized Geometry

High Energy Physics - Theory 2015-06-05 v1

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.

Keywords

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}
}

Comments

34 pages

R2 v1 2026-06-21T21:34:41.793Z