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

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 differ...

Descripción completa

Detalles Bibliográficos
Autores principales: Ferrara, Sergio, Louis, Jan
Lenguaje:eng
Publicado: 1992
Materias:
General Theoretical Physics
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(92)90188-A
http://cds.cern.ch/record/228888
_version_ 1780883892968882176
author Ferrara, Sergio
Louis, Jan
author_facet Ferrara, Sergio
Louis, Jan
author_sort Ferrara, Sergio
collection CERN
description 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.
id cern-228888
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1992
record_format invenio
spelling cern-2288882023-03-14T19:28:04Zdoi:10.1016/0370-2693(92)90188-Ahttp://cds.cern.ch/record/228888engFerrara, SergioLouis, JanFlat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ SupergravityGeneral Theoretical PhysicsParticle Physics - TheoryWe 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.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.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.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 threeform of Calabi-Yau manifolds is outlined.hep-th/9112049CERN-TH-6334-91CERN-TH-6334-91oai:cds.cern.ch:2288881992
spellingShingle General Theoretical Physics
Particle Physics - Theory
Ferrara, Sergio
Louis, Jan
Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ Supergravity
title Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ Supergravity
title_full Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ Supergravity
title_fullStr Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ Supergravity
title_full_unstemmed Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ Supergravity
title_short Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$ Supergravity
title_sort flat holomorphic connections and picard-fuchs identities from $n=2$ supergravity
topic General Theoretical Physics
Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(92)90188-A
http://cds.cern.ch/record/228888
work_keys_str_mv AT ferrarasergio flatholomorphicconnectionsandpicardfuchsidentitiesfromn2supergravity
AT louisjan flatholomorphicconnectionsandpicardfuchsidentitiesfromn2supergravity

Ejemplares similares