# 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…

## 62 Citations

Calabi-Yau threefolds and heterotic string compactification

- Mathematics
- 2010

This thesis is concerned with Calabi-Yau threefolds and vector bundles upon them, which are the basic mathematical objects at the centre of smooth supersymmetric compactifications of heterotic string…

Heterotic string models on smooth Calabi-Yau threefolds

- Mathematics
- 2013

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces…

New Calabi‐Yau manifolds with small Hodge numbers

- Mathematics
- 2010

It is known that many Calabi‐Yau manifolds form a connected web. The question of whether all Calabi‐Yau manifolds form a single web depends on the degree of singularity that is permitted for the…

Heterotic Models from Vector Bundles on Toric

- Mathematics
- 2009

We systematically approach the construction of heterotic E8 E8 Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus…

A three‐generation Calabi‐Yau manifold with small Hodge numbers

- Mathematics
- 2010

We present a complete intersection Calabi‐Yau manifold Y that has Euler number ‐72 and which admits free actions by two groups of automorphisms of order 12. These are the cyclic group ℤ12 and the…

Yukawa textures from heterotic stability walls

- Mathematics
- 2010

A holomorphic vector bundle on a Calabi-Yau threefold, X, with h1,1(X) ≥ 2 can have regions of its Kähler cone where it is slope-stable, that is, where the four-dimensional theory is $ \mathcal{N} =…

Heterotic models from vector bundles on toric Calabi-Yau manifolds

- Mathematics
- 2010

We systematically approach the construction of heterotic E8 × E8 Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus…

Fibrations in CICY threefolds

- Mathematics
- 2017

A bstractIn this work we systematically enumerate genus one fibrations in the class of 7, 890 Calabi-Yau manifolds defined as complete intersections in products of projective spaces, the so-called…

Mirror Symmetry of Minimal Calabi-Yau Manifolds

- Mathematics
- 2015

We perform the mirror transformations of Calabi-Yau manifolds with one moduli whose Hodge numbers $(h^{11}, h^{21})$ are minimally small. Since the difference of Hodge numbers is the generation of…

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