Complete classification of reflexive polyhedra in four dimensions
Abstract
Four dimensional reflexive polyhedra encode the data for smooth Calabi-Yau threefolds that are hypersurfaces in toric varieties, and have important applications both in perturbative and in non-perturbative string theory. We describe how we obtained all 473,800,776 reflexive polyhedra that exist in four dimensions and the 30,108 distinct pairs of Hodge numbers of the resulting Calabi-Yau manifolds. As a by-product we show that all these spaces (and hence the corresponding string vacua) are connected via a chain of singular transitions.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2000
- DOI:
- 10.48550/arXiv.hep-th/0002240
- arXiv:
- arXiv:hep-th/0002240
- Bibcode:
- 2000hep.th....2240K
- Keywords:
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- High Energy Physics - Theory;
- Algebraic Geometry
- E-Print:
- 22 pages, latex2e