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arXiv 1910.04530hep-th
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从相交的D6-branes再看超对称Pati-Salam模型

Revisiting the Supersymmetric Pati-Salam Models from Intersecting D6-branes

Tianjun Li, Adeel Mansha, Rui Sun

摘要:

采用新的扫描方法,我们重新系统地构建了三个家庭的$N=1$超对称Pati-Salam模型在IIA型orientifolds上的${\bf T}^6/(\mathbb Z_2\times \mathbb Z_2)$相交的D 6-膜。帕蒂-萨拉姆规范对称性$SU(4)_C\times SU(2)_L \times SU(2)_R$产生于具有$U(n)$规范对称性的D 6膜堆栈,可以通过D膜分裂以及D和F平坦性保留希格斯机制分解为标准模型。此外,隐藏扇区包含$USp(n)$膜,它们与定向折叠平面或其${\mathbb Z_2}$图像平行。我们发现,如果模型在$SU(2)_L$和$SU(2)_R$交换下不是不变的,那么在Pati-Salam模型的建立中II型T-对偶就不是等价关系,并提供了一种获得新模型的方法.我们系统地构造了三个在弦尺度下通常不具有规范耦合统一的新模型族。我们首次构造了一个包裹数等于$5$的Pati-Salam模型。特别是,我们发现这些模型携带更精细的规范耦合,从而有更多的可能性有近似规范耦合统一。

英文摘要:

Employing new scanning methods, we revisit the systematic construction of three-family $N=1$ supersymmetric Pati-Salam models in Type IIA orientifolds on ${\bf T}^6/(\mathbb Z_2\times \mathbb Z_2)$ with intersecting D6-branes. Arising from the stacks of D6-branes with $U(n)$ gauge symmetries, the Pati-Salam gauge symmetries $SU(4)_C\times SU(2)_L \times SU(2)_R$ can be broken down to the Standard Model via D-brane splitting as well as D- and F-flatness preserving Higgs mechanism. Also, the hidden sector contains $USp(n)$ branes, which are parallel with the orientifold planes or their ${\mathbb Z_2}$ images. We find that the Type II T-duality in the previous study is not an equivalent relation in Pati-Salam model building if the model is not invariant under $SU(2)_L$ and $SU(2)_R$ exchange, and provides a way to obtain new models. We systematically construct the new models with three families, which usually do not have gauge coupling unification at the string scale. We for the first time construct the Pati-Salam models with one wrapping number equal to $5$. In particular, we find that these models carry more refined gauge couplings, and thus with more possibility to have approximate gauge coupling unification.

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