Discrete Symmetries of Complete Intersection
Calabi-Yau Manifolds
Philip Candelas, Andre Lukas, Challenger Mishra
Discrete Symmetries of Complete Intersection
Calabi-Yau Manifolds
Philip Candelas, Andre Lukas, Challenger Mishra
This website holds data related to the paper arXiv:1708.08943, where discrete symmetries of CICY quotients have been classified. Underlying this classification is the list of CICYs from this paper and the classification of freely-acting CICY symmetries from this paper which lead to 1695 CICY quotients. This combined data for CICY manifolds and their freely-acting symmetries can also be found here. We have classified discrete symmetries for these CICY quotients and have found that generic non-trivial symmetries exist on 381 quotients. The data for these symmetries, including the matrix generators, can be downloaded here, as a Mathematica list with entries of the form
{ {CICY number, symmetry number}, {matrix generators acting on coordinates},
{matrix generators acting on polynomials}, name of group,
{transformation factors of (3,0) form}}.