Heterotic supersymmetric backgrounds with compact holonomy revisited
Heterotic supersymmetric backgrounds with compact holonomy revisited
复制标题
重温紧凑完整的异质超对称背景
DOI：
10.1088/0264-9381/27/12/125008
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发表时间：
2009
影响因子：
3.5
通讯作者：
G. Papadopoulos
中科院分区：
文献类型：
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作者：
G. Papadopoulos
利用场方程和附加的3-形式通量封闭的假设，我们简化了杂化超引力Killing旋量方程具有紧致完整性的超对称解的分类.我们确定的所有分数的超对称性的解决方案保持，并发现有一个限制的超对称性的数量取决于等距组的背景。我们在所有情况下检查时空的几何。我们发现杂化超引力的超对称解与大量的几何结构相联系，这些几何结构包括具有G2结构的7维流形、6维复流形和几乎复流形、4维超Kähler流形、Kähler流形和反自对偶Weyl流形.
We simplify the classification of supersymmetric solutions with compact holonomy of the Killing spinor equations of heterotic supergravity using the field equations and the additional assumption that the 3-form flux is closed. We determine all the fractions of supersymmetry that the solutions preserve and find that there is a restriction on the number of supersymmetries which depends on the isometry group of the background. We examine the geometry of spacetime in all cases. We find that the supersymmetric solutions of heterotic supergravity are associated with a large number of geometric structures which include seven-dimensional manifolds with G2 structure, six-dimensional complex and almost complex manifolds, and four-dimensional hyper-Kähler, Kähler and anti-self-dual Weyl manifolds.