The web of Calabi-Yau hypersurfaces in toric varieties

Details The web of Calabi-Yau hypersurfaces in toric varieties The web of Calabi-Yau hypersurfaces in toric varieties

1997-02-28

arxiv.org/abs/hep-th/9703003v1

Nucl.Phys. B505 (1997) 625-640

Physics

High Energy Physics

High Energy Physics - Theory

TeX, epsf.tex; 24 pages

Scientific paper

10.1016/S0550-3213(97)00582-8

Recent results on duality between string theories and connectedness of their moduli spaces seem to go a long way toward establishing the uniqueness of an underlying theory. For the large class of Calabi-Yau 3-folds that can be embedded as hypersurfaces in toric varieties the proof of mathematical connectedness via singular limits is greatly simplified by using polytopes that are maximal with respect to certain single or multiple weight systems. We identify the multiple weight systems occurring in this approach. We show that all of the corresponding Calabi-Yau manifolds are connected among themselves and to the web of CICY's. This almost completes the proof of connectedness for toric Calabi-Yau hypersurfaces.

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