N=2 vacua in generalized geometry

被引:0
|
作者
Grana, Mariana [1 ]
Orsi, Francesco [1 ]
机构
[1] CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 11期
基金
欧洲研究理事会;
关键词
Flux compactifications; Differential and Algebraic Geometry; Superstring Vacua; Supergravity Models;
D O I
10.1007/JHEP11(2012)052
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
收藏
页数:32
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