F-Theory on Calabi-Yau Fourfolds

Details F-Theory on Calabi-Yau Fourfolds F-Theory on Calabi-Yau Fourfolds

1996-06-24

arxiv.org/abs/hep-th/9606148v1

Phys.Lett. B387 (1996) 750-758

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/0370-2693(96)01100-8

We discuss some aspects of F-theory in four dimensions on elliptically fibered Calabi-Yau fourfolds which are Calabi-Yau threefold fibrations. A particularly simple class of such manifolds emerges for fourfolds in which the generic Calabi-Yau threefold fiber is itself an elliptic fibration and is K3 fibered. Duality between F-theory compactified on Calabi-Yau fourfolds and heterotic strings on Calabi-Yau threefolds puts constraints on the cohomology of the fourfold. By computing the Hodge diamond of Calabi-Yau fourfolds we provide first numerical evidence for F-theory dualities in four dimensions.

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