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String quantum symmetries from Picard Fuchs equations and their monodromy. (English) Zbl 0790.14008

Summary: Local and global properties of the moduli space of Calabi-Yau type compactifications determine the low energy parameters of the string effective action. We show that the moduli space geometry is entirely encoded in the Picard-Fuchs equations for the periods of the Calabi-Yau \(H^{(3)}\)-cohomology.

MSC:

14D20 Algebraic moduli problems, moduli of vector bundles
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
32J05 Compactification of analytic spaces
14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
14H99 Curves in algebraic geometry
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