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

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

1996-02-22

arxiv.org/abs/hep-th/9602114v3

Nucl.Phys. B473 (1996) 74-92

Physics

High Energy Physics

High Energy Physics - Theory

24 pages + 1 figure. Minor corrections and reference added; final version to appear in Nuclear Physics B

Scientific paper

10.1016/0550-3213(96)00242-8

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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