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arXiv · hep-th/9112049

Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ Supergravity

Sergio Ferrara·Jan Louis
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Abstract

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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Sergio Ferrara, Jan Louis. 1991-12-19. Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ Supergravity. https://doi.org/10.1016/0370-2693(92)90188-a

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