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arXiv 1602.07934hep-th
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IIA超引力III的超对称几何

Supersymmetric geometries of IIA supergravity III

Ulf Gran, George Papadopoulos, Christian von Schultz

摘要:

我们发现,(大规模的)IIA背景,承认一个$G_2\ltimes \mathbb{R}^8$不变的Killing旋量必须表现出零Killing矢量场,使Killing旋量不变,并旋转的Killing矢量场满足一定的$\mathfrak{g}_2$瞬子条件。这个结果与[4]和[5]中的结果一起完成了所有保持一个超对称性的(大质量)IIA背景的几何分类。我们还探讨了一类背景的几何,其中承认一个$G_2\ltimes \mathbb{R}^8$不变的Killing旋量,并在另外一个适当的1-形式双线性消失。在所有情况下,我们都用几何学来表示理论的通量。

英文摘要:

We find that (massive) IIA backgrounds that admit a $G_2\ltimes \mathbb{R}^8$ invariant Killing spinor must exhibit a null Killing vector field which leaves the Killing spinor invariant and that the rotation of the Killing vector field satisfies a certain $\mathfrak{g}_2$ instanton condition. This result together with those in [4] and [5] complete the classification of geometries of all (massive) IIA backgrounds that preserve one supersymmetry. We also explore the geometry of a class of backgrounds which admit a $G_2\ltimes \mathbb{R}^8$ invariant Killing spinor and where in addition an appropriate 1-form bilinear vanishes. In all cases, we express the fluxes of the theory in terms of the geometry.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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