arXiv 0712.08862007-12-06hep-th

用半真实相交的膜结构实现镜像对称

Towards Mirror Symmetry with Semi-Realistic Intersecting Brane Configurations

Harun Omer

备注：: 19 pages
发表信息：: JHEP 0901:032,2009
DOI：: 10.1088/1126-6708/2009/01/032

摘要：

从非常规的角度讨论了T6轨道紧化作为Landau-Ginzburg模型的大半径极限。模型的特征原则上是熟悉的，但是它们在这里进入的方式与使用更常用的方法时进入的方式不同。我们希望这里提出的观点可以补充对字符串紧化中使用的特征的理解，特别是在自然性和完整性方面。更准确地说，分析的T6 / Z_4 x Z_4具有两种不同的O-平面，体膜和分数膜，连续和离散的Wilson线以及可以以不同方式作用于Wilson线的orientifold作用。D-膜由矩阵分解描述。这项工作也是为了展示矩阵分解的潜力，这是第一次面向他们的完整水平的复杂性在本文中。在整个分析过程中，所有东西都通过镜像对称从LG模型的B模型侧映射到A侧。这项工作可以直接地扩展到在一般的相交膜构型上进行镜像对称和计算汤川耦合。这里提出的分析也可以适用于非环形背景与交叉膜配置上，所以我希望这将是一个有用的基础，为以后的应用镜像对称模型展示真实世界的属性。

英文摘要：

A T6 orbifold compactification is discussed from the somewhat unconventional perspective as the large radius limit of a Landau-Ginzburg model. The features of the model are in principle familiar, but the way they enter here is different from the way they enter when using more commonly used methods. It is hoped that the point of view presented here can supplement the understanding of the features used in string compactifications, notably in terms of naturalness and completeness. More precisely, the analyzed T6 / Z_4 x Z_4 features two different kinds of O-planes, branes in the bulk as well as fractional branes, continuous and discrete Wilson lines as well as an orientifold action which can act in different ways on the Wilson lines. The D-branes are desribed by matrix factorizations. This work is also intended to be a showcase for the potentials of matrix factorizations which are for the first time geared to their full level of sophistication in this paper. Throughout the analyis everything is mapped from the B-model side of the LG-model to the A side by mirror symmetry. The work could be extended straightforwardly yet tediously to perform mirror symmetry on a general intersecting brane configuration and to compute Yukawa couplings. The analysis presented here can also be applied to non-toroidal backgrounds with an intersecting brane configuration on it, so I hope that it will be a helpful basis for later applications of mirror symmetry to models exhibiting real world properties.

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。

摘要：

英文摘要：

相关论文