An abundance of heterotic vacua
| Autor: | Maxime Gabella, Andre Lukas, Yang-Hui He |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Heterotic string theory High Energy Physics - Theory Nuclear and High Energy Physics Pure mathematics Fibered knot Vector bundle FOS: Physical sciences Base (topology) Standard Model (mathematical formulation) High Energy Physics::Theory Mathematics::Algebraic Geometry Cover (topology) High Energy Physics - Theory (hep-th) Gauge group Order (group theory) Mathematics::Differential Geometry Mathematics::Symplectic Geometry QC |
| Zdroj: | Journal of High Energy Physics |
| Popis: | 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. 27 pages, 12 figures, added references |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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