On the Duality between the Heterotic String and F-Theory in 8 Dimensions

Details On the Duality between the Heterotic String and F-Theory in 8 Dimensions On the Duality between the Heterotic String and F-Theory in 8 Dimensions

1996-09-13

arxiv.org/abs/hep-th/9609111v1

Phys.Lett.B389:479-484,1996

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX

Scientific paper

10.1016/S0370-2693(96)01303-2

In this note we compare the moduli spaces of the heterotic string compactified on a two-torus and F-Theory compactified on an elliptic K3 surface for the case of an unbroken E8 x E8 gauge group. The explicit map relating the deformation parameters alpha and beta of the F-Theory K3 surface to the moduli T and U of the heterotic torus is found using the close relationship between the K3 discriminant and the discriminant of the Calabi-Yau-threefold X(1,1,2,8,12)[24] in the limit of a large base P1.

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