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

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

1991-12-19

arxiv.org/abs/hep-th/9112049v1

Phys.Lett. B278 (1992) 240-245

Physics

High Energy Physics

High Energy Physics - Theory

13pages

Scientific paper

10.1016/0370-2693(92)90188-A

We show that in special K\"ahler 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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