Hodge Numbers for All CICY Quotients

Andrei Constantin, James Gray, Andre Lukas


This website holds the data underlying the paper arXiv:1606.04032, where the Hodge numbers of all quotients of complete intersection Calabi-Yau manifolds have been computed. The data on complete intersection Calabi-Yau manifolds is taken from the original papers Nucl.Phys. B298 (1988) 493 and Nucl.Phys. B306 (1988) 113 by P. Candelas, A.M. Dale, A. Lutken and R. Schimmrigk. The freely-acting discrete symmetries of these manifolds have been obtained by V. Braun in JHEP 1104 (2011) 005. The data below gives a list of all 195 Cicy manifolds with freely-acting symmetries in Mathematica format. The structure of each list entry is

{Num->identifier number of Cicy, Conf->configuration matrix, H11->h11, H21->h21, Symmetries->list of freely-acting symmetries}.

Each entry in the list of freely-acting symmetries has the format

{gap-id, name of symmetry, list of generators acting on coordinates, list of generators acting on polynomials, H11->h11 of quotient, H21->h21 of quotient}.

  1.   List of Cicy manifolds, their freely-acting symmetries and Hodge numbers of their quotients as a Mathematica list.

    (Can be read into Mathematica with the << filename command.)

  1. You can also open and execute this Mathematica notebook. (The quickest way if you have a Mathematica browser plug-in.)