Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds
- 48 Downloads
We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second section and a freely-acting involution. Specifically, we consider toric weak Fano surfaces as base manifolds and identify six such manifolds with the required properties. The requisite mathematical tools for the construction of line bundle models on these spaces, including the calculation of line bundle cohomology, are developed. A computer scan leads to more than 400 line bundle models with the right number of families and an SU(5) GUT group which could descend to standard-like models after taking the ℤ2 quotient. A common and surprising feature of these models is the presence of a large number of vector-like states.
KeywordsFlux compactifications Superstring Vacua Superstrings and Heterotic Strings
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- Cohomcalg package, http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg/ (2010).
- S. Kobayashi, Differential geometry of vector bundles, Princeton University Press, Princeton U.S.A (1986).Google Scholar
- D. Cox, J. Little and H. Schenck, Toric varieties, Graduate studies in mathematics, American Mathematical Society, U.S.A. (2011).Google Scholar