All the Hodge numbers for all Calabi-Yau complete intersections

Abstract

The authors compute explicitly all the Hodge numbers for all Calabi-Yau manifolds realised as complete intersections of hypersurfaces in products of complex projective spaces. This determines the essential part of the matter superfield spectrum for the heterotic superstring compactified on any of these manifolds. They use various techniques presented in the recent literature to obtain 265 distinct Hodge diamonds; they exemplify these techniques, giving all necessary details of their computations.