Evaluation of Periods via Fibrations in Seiberg-Witten Theories and in Type-II String

Details Evaluation of Periods via Fibrations in Seiberg-Witten Theories and in Type-II String Evaluation of Periods via Fibrations in Seiberg-Witten Theories and in Type-II String

1997-07-02

arxiv.org/abs/hep-th/9707022v2

Mod.Phys.Lett. A12 (1997) 2847-2858

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex, no figures, a reference corrected

Scientific paper

10.1142/S0217732397002971

We show how to evaluate the periods in Seiberg-Witten theories and in K3-fibered Calabi-Yau manifolds by using fibrations of the theories. In the Seiberg-Witten theories, it is shown that the dual pair of fields can be constructed from the classical fields in a simple form. As for Calabi-Yau manifolds which are fibrations of K3 surface, we obtain the solutions of the Picard-Fuchs equations from the periods of K3 surface. By utilizing the expression of periods for two-parameter models of type-II string, we derive the solutions of the Picard-Fuchs equations around the points of enhanced gauge symmetry and show a simple connection to the SU(2) Seiberg-Witten theory.

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