Triadophilia: A Special Corner in the Landscape

@article{Candelas2007TriadophiliaAS,
  title={Triadophilia: A Special Corner in the Landscape},
  author={Philip Candelas and Xenia de la Ossa and Yang-Hui He and Bal{\'a}zs Szendrői},
  journal={arXiv: High Energy Physics - Theory},
  year={2007}
}
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… 

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