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arXiv · 0808.2142

An Abundance of Heterotic Vacua

Maxime Gabella·Yang-Hui He·Andre Lukas
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Abstract

We explicitly construct the largest dataset to date of heterotic vacua arising from stable vector bundles on Calabi-Yau threefolds. Focusing on elliptically fibered Calabi-Yau manifolds with spectral cover bundles, we show that the number of heterotic models with non-zero number of generations is finite. We classify these models according to the complex base of their Calabi-Yau threefold and to the unification gauge group that they preserve in four dimensions. This database of the order of $10^7$ models, which includes potential Standard Model candidates, is subjected to some preliminary statistical analyses. The additional constraint that there should be three net generations of particles gives a dramatic reduction of the number of vacua.

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Maxime Gabella, Yang-Hui He, Andre Lukas. 2008-09-17. An Abundance of Heterotic Vacua. https://doi.org/10.1088/1126-6708%2F2008%2F12%2F027

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