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arXiv · hep-th/9707022

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

Hisao Suzuki
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Abstract

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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Hisao Suzuki. 1997-07-14. Evaluation of Periods via Fibrations in Seiberg-Witten Theories and in Type-II String. https://doi.org/10.1142/s0217732397002971

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