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

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

1996-03-25

arxiv.org/abs/hep-th/9603161v2

Nucl.Phys.B476:437-469,1996

Physics

High Energy Physics

High Energy Physics - Theory

latex with epsf, 33 pages + 4 figures. Minor corrections

Scientific paper

10.1016/0550-3213(96)00369-0

We continue our study of compactifications of F-theory on Calabi--Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on elliptically fibered manifolds. As a byproduct we find that string/string duality in six dimensions gets mapped to fiber/base exchange in F-theory. We also construct a number of new $N=1$, $d=6$ examples of F-theory vacua and study transitions among them. We find that some of these transition points correspond upon further compactification to 4 dimensions to transitions through analogues of Argyres--Douglas points of $N=2$ moduli. A key idea in these transitions is the notion of classifying $(0,4)$ fivebranes of heterotic strings.

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