1991/12/19 by S. Ferrara, Sergio Ferrara, Jan Louis · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1016/0370-2693(92)90188-a
published as Phys.Lett. B278 (1992) 240-245 · 13pages
arxiv created 1991/12/19 · openalex publication_date 1992/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.