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Compactifications of F-Theory on Calabi--Yau Threefolds -- I

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arxiv hep-th/9602114 v3 pith:BVCIOZ2S submitted 1996-02-22 hep-th

David R. Morrison , Cumrun Vafa This is my paper · ORCID
classification hep-th
keywords f-theoryheteroticcalabi--yaucompactificationscouplingdimensionsdualitiesstring
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study compactifications of F-theory on certain Calabi--Yau threefolds. We find that $N=2$ dualities of type II/heterotic strings in 4 dimensions get promoted to $N=1$ dualities between heterotic string and F-theory in 6 dimensions. The six dimensional heterotic/heterotic duality becomes a classical geometric symmetry of the Calabi--Yau in the F-theory setup. Moreover the F-theory compactification sheds light on the nature of the strong coupling transition and what lies beyond the transition at finite values of heterotic string coupling constant.

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