F-Theory Duals of Nonperturbative Heterotic E8xE8 Vacua in Six Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

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24 pages, LaTex, no figures. Significant errors corrected, leading to a modification of some of our conclusions. References ad

Scientific paper

10.1016/S0550-3213(97)00375-1

We present a systematic way of generating F-theory models dual to nonperturbative vacua (i.e., vacua with extra tensor multiplets) of heterotic E8xE8 strings compactified on K3, using hypersurfaces in toric varieties. In all cases, the Calabi-Yau is an elliptic fibration over a blow up of the Hirzebruch surface F_n. We find that in most cases the fan of the base of the elliptic fibration is visible in the dual polyhedron of the Calabi-Yau, and that the extra tensor multiplets are represented as points corresponding to the blow-ups of the F_n.

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