Fixing D7-brane positions by F-theory fluxes
Fixing D7-brane positions by F-theory fluxes
复制标题
通过 F 理论通量固定 D7 膜位置
DOI：
10.1016/j.nuclphysb.2009.02.025
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
R. Valandro
中科院分区：
文献类型：
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作者：
A. P. Braun;A. Hebecker;C. Ludeling;R. Valandro
为了在IIB型超引力中建立真实的模型，重要的是要理解如何通过选择通量来固定D 7-膜的位置。更一般地说，F理论模型的建立需要理解通量如何决定紧化的奇点结构（以及规范群和物质含量）。我们在K3×K3上的M理论的简单设置中分析这个问题。给定一个与F-理论极限一致的通量，我们可以明确地导出D 7膜或D 7膜堆稳定化的位置。分析是基于T2/Z2（包括D 7-膜位置）上的IIB型弦理论的模空间在K3上的M-理论的整数周期的参数化。特别是，这允许我们通过选择通量数来选择特定的所需规范组。
To do realistic model building in type IIB supergravity, it is important to understand how to fix D7-brane positions by the choice of fluxes. More generally, F-theory model building requires the understanding of how fluxes determine the singularity structure (and hence gauge group and matter content) of the compactification. We analyse this problem in the simple setting of M-theory on K3×K3. Given a certain flux which is consistent with the F-theory limit, we can explicitly derive the positions at which D7 branes or stacks of D7 branes are stabilised. The analysis is based on a parameterization of the moduli space of type IIB string theory on T2/Z2(including D7-brane positions) in terms of the periods of integral cycles of M-theory on K3. This allows us, in particular, to select a specific desired gauge group by the choice of flux numbers.