Flat Holomorphic Connections and Picard-Fuchs Identities From N=2 Supergravity
Ferrara, Sergio · Louis, Jan
Original · EN
We show that in special Kähler geometry of N=2 space-time supergravity the gauge variant part of the connection is holomorphic and flat (in a Riemannian sense). A set of differential identities (Picard-Fuchs identities) are satisfied on a holomorphic bundle. The relationship with the differential equations obeyed by the periods of the holomorphic three form of Calabi-Yau manifolds is outlined.
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