Heterotic model building: 16 special manifolds
- 184 Downloads
We study heterotic model building on 16 specific Calabi-Yau manifolds constructed as hypersurfaces in toric four-folds. These 16 manifolds are the only ones among the more than half a billion manifolds in the Kreuzer-Skarke list with a non-trivial first fundamental group. We classify the line bundle models on these manifolds, both for SU(5) and SO(10) GUTs, which lead to consistent supersymmetric string vacua and have three chiral families. A total of about 29000 models is found, most of them corresponding to SO(10) GUTs. These models constitute a starting point for detailed heterotic model building on Calabi-Yau manifolds in the Kreuzer-Skarke list. The data for these models can be downloaded here.
KeywordsSuperstrings and Heterotic Strings Differential and Algebraic Geometry GUT
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.
- Y.-H. He, P. Candelas, A. Hanany, A. Lukas and B. Ovrut, Computational Algebraic Geometry in String and Gauge Theory, Adv. High En. Phys. (2012) 431898.Google Scholar
- L.B. Anderson, J. Gray, A. Lukas and E. Palti, Heterotic standard models from smooth Calabi-Yau three-folds, PoS(CORFU2011)096.
- V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, alg-geom/9310003.
- D.A. Cox, J.B. Little and H.K. Schenck, Toric varieties, American Mathematical Soc. vol. 124 (2011).Google Scholar
- The database of Heterotic Models on Toric Calabi-Yau, http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/toricdata/index.html.