摘要翻译：
众所周知，弦理论中存在着许多明显一致的真空。我们提请注意这样一个事实，即Hodge数H^{11}和H^{21}都很小的Calabi-Yau流形似乎很少。其中(h^{11},h^{21}）=(3,3）的情形对应于一个流形，最近在该流形上构造了一个三代异质模型。我们还指出，该流形与几种常见的流形，包括Tian和Yau以及Schimmrigk在早期研究中发现的\chi=-6的“三代”流形之间有着非常密切的联系。这是一个有趣的可能性，我们可能生活在自然界定的角落的景观。这三代模型相对于景观一角的位置是如此引人注目，以至于我们被引导考虑异质真空之间过渡的可能性。这些转变的可能性，我们在这里称之为越轨，是一个古老的想法，可以追溯到威滕。在这里，我们应用这一思想来连接不同的Calabi-Yau流形上的三代真空。
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英文标题：
《Triadophilia: A Special Corner in the Landscape》
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作者：
Philip Candelas, Xenia de la Ossa, Yang-Hui He, Balazs Szendroi
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：High Energy Physics - Theory        高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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一级分类：Physics        物理学
二级分类：High Energy Physics - Theory        高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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一级分类：Physics        物理学
二级分类：High Energy Physics - Phenomenology        高能物理-现象学
分类描述：Theoretical particle physics and its interrelation with experiment. Prediction of particle physics observables: models, effective field theories, calculation techniques. Particle physics: analysis of theory through experimental results.
理论粒子物理及其与实验的相互关系。粒子物理可观测物的预测：模型，有效场论，计算技术。粒子物理：通过实验结果分析理论。
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一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  It is well known that there are a great many apparently consistent vacua of string theory. We draw attention to the fact that there appear to be very few Calabi--Yau manifolds with the Hodge numbers h^{11} and h^{21} both small. Of these, the case (h^{11}, h^{21})=(3,3) corresponds to a manifold on which a three generation heterotic model has recently been constructed. We point out also that there is a very close relation between this manifold and several familiar manifolds including the `three-generation' manifolds with \chi=-6 that were found by Tian and Yau, and by Schimmrigk, during early investigations. It is an intriguing possibility that we may live in a naturally defined corner of the landscape. The location of these three generation models with respect to a corner of the landscape is so striking that we are led to consider the possibility of transitions between heterotic vacua. The possibility of these transitions, that we here refer to as transgressions, is an old idea that goes back to Witten. Here we apply this idea to connect three generation vacua on different Calabi-Yau manifolds.
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PDF链接：
https://arxiv.org/pdf/0706.3134