Dualities between K3 fibered Calabi-Yau three-folds

Details Dualities between K3 fibered Calabi-Yau three-folds Dualities between K3 fibered Calabi-Yau three-folds

2001-09-20

arxiv.org/abs/hep-th/0109155v4

Physics

High Energy Physics

High Energy Physics - Theory

AmsLatex, 31 pages v4:the comment of the partition function corrected

Scientific paper

We propose a way to examine N=1 and N=2 string dualities on Calabi-Yau three-folds or extensions. Our way is to find out or to construct two types of toric representations of a Calabi-Yau three-fold, which contain phases topologically equivalent or phases connected by flops. We discuss how to find relations among Calabi-Yau three-folds realized in different toric representations. We examine several examples of Calabi-Yau three-folds which have the Hodge numbers, $(h^{1,1},h^{2,1})=(5,185)$ and the various numbers of K3 fibers. We observe that each phase of our examples contains Del Pezzo 4-cycles, $B_8$ in six ways.

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