论文标题

$α'$ - $ d $ branes的效果,$ 4D \; \ Mathcal {n} = 1 $

On $α'$-effects from $D$-branes in $4d \; \mathcal{N} = 1$

论文作者

Weissenbacher, Matthias

论文摘要

在这项工作中,我们研究了IIB Calabi-Yau Orientifold压缩在存在时空填充D7-BRANES和O7-PLANES的情况下。特别是,我们得出的结论是,$α'^2 g_s $ - 对其DBI动作的纠正会导致修改四维$ \ MATHCAL {N} = 1 $Kähler的潜力和坐标。我们专注于几何背景的一个模子案例,即$ h^{1,1} = 1 $,在其中我们发现$α'^2 g_s $ - 校正是拓扑性质。这取决于卡拉比远的四周期的第一种chern形式,该形式由D7-branes和o7平面包裹。这与我们以前的F理论分析一致,并提供了进一步的证据,证明在$α'^2 g_s $下可能破坏无尺度结构。得出了DILATON,经线因子以及内部空间度量的校正背景解决方案。此外,我们简要讨论了其他D $ p $ branes的$α'$ - 更正。

In this work we study type IIB Calabi-Yau orientifold compactifications in the presence of space-time filling D7-branes and O7-planes. In particular, we conclude that $α'^2 g_s$-corrections to their DBI actions lead to a modification of the four-dimensional $\mathcal{N}=1$ Kähler potential and coordinates. We focus on the one-modulus case of the geometric background i.e. $h^{1,1}=1$ where we find that the $α'^2 g_s$-correction is of topological nature. It depends on the first Chern form of the four-cycle of the Calabi-Yau orientifold which is wrapped by the D7-branes and O7-plane. This is in agreement with our previous F-theory analysis and provides further evidence for a potential breaking of the no-scale structure at order $α'^2 g_s$. Corrected background solutions for the dilaton, the warp-factor as well as the internal space metric are derived. Additionally, we briefly discuss $α'$-corrections from other D$p$-branes.

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