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Compactifications of F-theory on Calabi-Yau threefolds. II. (English) Zbl 0925.14007
Summary: For Part I see ibid. 473, No. 1-2, 74-92 (1996). 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.

MSC:
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
32G81 Applications of deformations of analytic structures to the sciences
32J17 Compact complex \(3\)-folds
32S30 Deformations of complex singularities; vanishing cycles
83E30 String and superstring theories in gravitational theory
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