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arXiv 1209.1633hep-th
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F-理论中的Tate形式和弱耦合极限

Tate Form and Weak Coupling Limits in F-theory

Mboyo Esole, Raffaele Savelli

摘要:

我们考虑了非阿贝尔规范群存在下F-理论的弱耦合极限,这种弱耦合极限是用传统的Tate算法实现的。我们对弱耦合极限下可能出现的奇异点类型进行了分类,并解释了它们的分辨率。特别是,SU(n)规范群的弱耦合极限导致了一个orientifold理论,它遭受conifold奇异性,不承认一个crepant决议兼容orientifold对合。我们提出了一个简单的解决这个问题,通过引入一个新的弱耦合制度,承认与crepant决议和orientifold对称兼容的奇点。我们还评论可能的应用程序的新的限制模型的建设。最后,我们讨论了其他意想不到的现象,例如存在几个非等价的方向流从强到弱耦合导致不同的规范群。

英文摘要:

We consider the weak coupling limit of F-theory in the presence of non-Abelian gauge groups implemented using the traditional ansatz coming from Tate's algorithm. We classify the types of singularities that could appear in the weak coupling limit and explain their resolution. In particular, the weak coupling limit of SU(n) gauge groups leads to an orientifold theory which suffers from conifold singulaties that do not admit a crepant resolution compatible with the orientifold involution. We present a simple resolution to this problem by introducing a new weak coupling regime that admits singularities compatible with both a crepant resolution and an orientifold symmetry. We also comment on possible applications of the new limit to model building. We finally discuss other unexpected phenomena as for example the existence of several non-equivalent directions to flow from strong to weak coupling leading to different gauge groups.

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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