Year: 2012
Type: article
Abstract: A bstract We find the conditions on compactifications of type IIA to four-dimensional Minkowski space to preserve $ \mathcal{N} $ = 2 supersymmetry in the language of Exceptional Generalized Geometry (EGG) and Generalized Complex Geometry (GCG). In EGG, off-shell $ \mathcal{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 $ \mathcal{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.
Source: Journal of High Energy Physics
Authors: Mariana Graña, Francesco Orsi
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid:
OpenAlex ID: W178600398