Strings on Calabi--Yau spaces and Toric Geometry

Abstract

After a brief introduction into the use of Calabi--Yau varieties in string dualities, and the role of toric geometry in that context, we review the classification of toric Calabi-Yau hypersurfaces and present some results on complete intersections. While no proof of the existence of a finite bound on the Hodge numbers is known, all new data stay inside the familiar range $h_{11}+h_{12}\le 502$.

error in Hodge data of complete intersections corrected, published in Nucl.Phys. B Conf. Suppl. 102 (2001) 87

References in corpus (23)

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• Landau-Ginzburg String Vacua
• No Mirror Symmetry in Landau-Ginzburg Spectra!
• The Mirror Map for Invertible LG Models
• Searching for K3 Fibrations
• Weight systems for toric Calabi-Yau varieties and reflexivity of Newton polyhedra
• All Abelian Symmetries of Landau-Ginzburg Potentials
• Landau-Ginzburg orbifolds with discrete torsion
• ADE string vacua with discrete torsion

Cited by in corpus (3)

• PALP: A Package for Analyzing Lattice Polytopes with Applications to Toric Geometry
• Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds
• NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion