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Heterotic Models on Toric Calabi-Yau Hypersurfaces

This website holds results for phenomenologically interesting heterotic models on Calabi-Yau manifolds obtained as hypersurfaces in four-dimensional toric ambient varieties, taken from the complete classification of four-dimensional reflecive polyhedra by Kreuzer and Skarke in hep-th/0002240.

Positive Monad Bundles on Toric Calabi-Yau Hypersurfaces

Yang-Hui He, Maximilian Kreuzer, Seung-Joo Lee, Andre Lukas

We present all positive monad bundles on Calabi-Yau hypersurfaces in toric varieties with Picard number 1, 2 and 3 which lead to consistent heterotic vacua and have an index equal to -3 times the order of potentially available freely acting discrete symmetries of the Calabi-Yau manifold. The details are explained in arXive:1108:1031. Any use of this data should be accompanied by a reference to this paper. We find about 2000 bundles on 2 manifolds which are given in the files linked below.

Data for the bundles (as a Mathematica list)

Line Bundle GUT models on 16 Special Toric Calabi-Yau Hypersurfaces

Yang-Hui He, Seung-Joo Lee, Andre Lukas, Chuang Sun

We present all rank four and five line bundle sums on the 16 Calabi-Yau hypersurfaces in toric varieties with a non-vanishing first fundamental group. All line bundle sums which lead to a consistent, anomaly-free, supersymmetric SO(10) or SU(5) GUT theory with the correct chiral asymmetry are given. Details can be found in arXiv:1309:0223 and any use of this data should be accompanied by a reference to this paper. The data is stored in plain text files and as Mathematica lists of the form {1 -> {line bundle sum 1, line bundle sum 2, . . .}, 2 -> {line bundle sum 1, line bundle sum 2, . . .}, . . .}, where 1, 2, . . . label the 16 toric spaces as explained in the above paper and a line bundle sum is given as a matrix with the individual line bundles corresponding to the columns.