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All the Hodge numbers for all Calabi-Yau complete intersections. (English) Zbl 0657.53063
We compute explicitly all the Hodge numbers for all Calabi-Yau manifolds realized 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. We use various techniques presented in the recent literature to obtain 265 distinct Hodge diamonds; we exemplify these techniques, giving all necessary details of our computations.

MSC:
53C80 Applications of global differential geometry to the sciences
32Q99 Complex manifolds
81T60 Supersymmetric field theories in quantum mechanics
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