从刚性到古怪
Oddness from Rigidness
摘要：
我们重新讨论了在T^6/（Z2 x Z2）上构造IIA型定向折叠的问题，它允许（非）-可因子分解格。更具体地说，我们考虑一个具有挠率的（Z2 x Z2 '）定向折叠，其中D 6-膜包裹刚性3-圈。在紧化格是不可因式分解格的情况下，我们得到了模型的建立规则和相容性条件。我们表明，在这一类的配置，（半）现实的模型与奇数的家庭可以很容易地构建，相比之下，紧化的D 6膜包装非刚性周期。我们还表明，奇数的家庭可以得到的因式分解的情况下，而不需要倾斜环面。我们说明了讨论，提出了三个家庭的Pati-Salam模型，没有手征异国情调的因式分解和非因式分解的环形紧化。
英文摘要：
We revisit the problem of constructing type IIA orientifolds on T^6/(Z2 x Z2) which admit (non)-factorisable lattices. More concretely, we consider a (Z2 x Z2') orientifold with torsion, where D6-branes wrap rigid 3-cycles. We derive the model building rules and consistency conditions in the case where the compactification lattice is non-factorisable. We show that in this class of configurations, (semi) realistic models with an odd number of families can be easily constructed, in contrast to compactifications where the D6-branes wrap non-rigid cycles. We also show that an odd number of families can be obtained in the factorisable case, without the need of tilted tori. We illustrate the discussion by presenting three family Pati-Salam models with no chiral exotics in both factorisable and non-factorisable toroidal compactifications.
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