Geometrical Aspects of Fivebranes in Heterotic/F-Theory Duality in Four Dimensions

Details Geometrical Aspects of Fivebranes in Heterotic/F-Theory Duality in Four Dimensions Geometrical Aspects of Fivebranes in Heterotic/F-Theory Duality in Four Dimensions

1999-03-11

arxiv.org/abs/hep-th/9903104v3

JHEP 9906 (1999) 002

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, TeX, uses harvmac (big). v3 minor changes in references

Scientific paper

10.1088/1126-6708/1999/06/002

We use the method of stable degenerations to study the local geometry of Calabi-Yau fourfolds for F-theory compactifications dual to heterotic compactifications on a Calabi-Yau threefold with fivebranes wrapping holomorphic curves in the threefold. When fivebranes wrap intersecting curves, or when many fivebranes wrap the same curve, the dual fourfolds degenerate in interesting ways. We find that some of these can be usefully described in terms of degenerations of the base of the elliptic fibrations of these fourfolds. We use Witten's criterion to determine which of the fivebranes can lead to the generation of a non-perturbative superpotential.

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