Weighted projective spaces and Landau-Ginzburg models

• In hep-th/9202039 we presented some general results on weight systems allowing transverse quasihomogeneous polynomials and an algorithm for classifying such weight systems for the case where the singularity index is 3, leading to Landau-Ginzburg models with a central charge of c=9. An application of this algorithm led to 10839 weight systems (hep-th/9205004). We also constructed all abelian orbifolds of these models (hep-th/9211047) and all admissible discrete torsions (hep-th/9412033).
  
  
• The weights for quasihomogeneous polynomials in n variables are listed in the following files:
  • n=4 (2390)
  • n=5 (5165)
  • n=6 (2567)
  • n=7 (669)
  • n=8 (47)
  • n=9 (1)
  7555=2390+5165 correspond to CY hypersurfaces in WP4.
  
  
• The following lists of pairs of "Hodge numbers" (more precisely: numbers of chiral/chiral and chiral/antichiral primary fields) are available:
  • Untwisted models (2997 pairs)
  • Abelian orbifolds (3798 pairs)
  • Additional 138 pairs for the case of discrete torsion