F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds
نویسندگان
چکیده
منابع مشابه
On the Hodge structure of elliptically fibered Calabi-Yau threefolds
The Hodge numbers of generic elliptically fibered Calabi-Yau threefolds over toric base surfaces fill out the “shield” structure previously identified by Kreuzer and Skarke. The connectivity structure of these spaces and bounds on the Hodge numbers are illuminated by considerations from F-theory and the minimal model program. In particular, there is a rigorous bound on the Hodge number h21 ≤ 49...
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We carry out a systematic study of a class of 6D F-theory models and associated Calabi-Yau threefolds that are constructed using base surfaces with a generalization of toric structure. In particular, we determine all smooth surfaces with a structure invariant under a single C∗ action (sometimes called “T-varieties” in the mathematical literature) that can act as bases for an elliptic fibration ...
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To every elliptic Calabi–Yau threefold with a section X there can be associated a Lie group G and a representation ρ of that group. The group is determined from the Weierstrass model, which has singularities that are generically rational double points; these double points lead to local factors of G which are either the corresponding A-D-E groups or some associated non-simply laced groups. The r...
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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 cons...
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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 compactificat...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2012
ISSN: 1029-8479
DOI: 10.1007/jhep10(2012)128