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arXiv 0710.5530hep-th
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AdS通量紧化上的D-膜

D-branes on AdS flux compactifications

Paul Koerber, Luca Martucci

摘要:

我们研究了AdS_4的N=1通量紧化中的D-膜。我们推导出它们的超对称性条件,并将其表示为背景广义校准。基本上,因为AdS有一个边界,稳定性的分析是更微妙的,定性不同于通常的情况下闵可夫斯基紧化。例如,填充AdS_4的稳定D-膜可以包裹平凡的内部循环。我们的分析给出了一个几何实现的四维场论的方法弗里德曼和合作者。此外,澄清了背景的超对称性条件与D-膜的广义校准的存在性之间的一一对应关系,并将其推广到任何允许类时Killing向量的超对称通量背景,并且所有场相对于相关时间是时间无关的。作为显式例子,我们讨论了IIA类Kaehler AdS_4通量紧化上的超对称D-膜。

英文摘要:

We study D-branes in N=1 flux compactifications to AdS_4. We derive their supersymmetry conditions and express them in terms of background generalized calibrations. Basically because AdS has a boundary, the analysis of stability is more subtle and qualitatively different from the usual case of Minkowski compactifications. For instance, stable D-branes filling AdS_4 may wrap trivial internal cycles. Our analysis gives a geometric realization of the four-dimensional field theory approach of Freedman and collaborators. Furthermore, the one-to-one correspondence between the supersymmetry conditions of the background and the existence of generalized calibrations for D-branes is clarified and extended to any supersymmetric flux background that admits a time-like Killing vector and for which all fields are time-independent with respect to the associated time. As explicit examples, we discuss supersymmetric D-branes on IIA nearly Kaehler AdS_4 flux compactifications.

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