Strings on Calabi--Yau spaces and Toric Geometry

Details Strings on Calabi--Yau spaces and Toric Geometry Strings on Calabi--Yau spaces and Toric Geometry

2001-03-29

arxiv.org/abs/hep-th/0103243v2

Nucl.Phys.Proc.Suppl.102:87-93,2001

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0920-5632(01)01541-9

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 $h_{11}+h_{12}\le 502$.

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