Heterotic Models on
Toric Calabi-Yau Hypersurfaces

Positive Monad Bundles on Toric Calabi-Yau Hypersurfaces

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

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.

- Newton polynomials for toric
Calabi-Yau manifolds with Picard numbers 1, 2 and 3 (pdf
file)

- Data for the 2 toric
manifolds with positive monads (as a Mathematica list)

- 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

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.