Stability of vector bundles from F-theory

We use a recently proposed formulation of stable holomorphic vector bundles $V$ on elliptically fibered Calabi--Yau n-fold $Z_n$ in terms of toric geometry to describe stability conditions on $V$. Using the toric map $f: W_{n+1} \to (V,Z_n)$ that identifies dual pairs of F-theory/heterotic duality w...

Descripción completa

Detalles Bibliográficos
Autores principales: Berglund, Per, Mayr, P.
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/1999/12/009
http://cds.cern.ch/record/384822
_version_ 1780893552910270464
author Berglund, Per
Mayr, P.
author_facet Berglund, Per
Mayr, P.
author_sort Berglund, Per
collection CERN
description We use a recently proposed formulation of stable holomorphic vector bundles $V$ on elliptically fibered Calabi--Yau n-fold $Z_n$ in terms of toric geometry to describe stability conditions on $V$. Using the toric map $f: W_{n+1} \to (V,Z_n)$ that identifies dual pairs of F-theory/heterotic duality we show how stability can be related to the existence of holomorphic sections of a certain line bundle that is part of the toric construction.
id cern-384822
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
record_format invenio
spelling cern-3848222023-03-14T16:58:45Zdoi:10.1088/1126-6708/1999/12/009http://cds.cern.ch/record/384822engBerglund, PerMayr, P.Stability of vector bundles from F-theoryParticle Physics - TheoryWe use a recently proposed formulation of stable holomorphic vector bundles $V$ on elliptically fibered Calabi--Yau n-fold $Z_n$ in terms of toric geometry to describe stability conditions on $V$. Using the toric map $f: W_{n+1} \to (V,Z_n)$ that identifies dual pairs of F-theory/heterotic duality we show how stability can be related to the existence of holomorphic sections of a certain line bundle that is part of the toric construction.We use a recently proposed formulation of stable holomorphic vector bundles $V$ on elliptically fibered Calabi--Yau n-fold $Z_n$ in terms of toric geometry to describe stability conditions on $V$. Using the toric map $f: W_{n+1} \to (V,Z_n)$ that identifies dual pairs of F-theory/heterotic duality we show how stability can be related to the existence of holomorphic sections of a certain line bundle that is part of the toric construction.hep-th/9904114CERN-TH-99-102NSF-ITP-99-23CERN-TH-99-102NSF-ITP-99-23oai:cds.cern.ch:3848221999-04-16
spellingShingle Particle Physics - Theory
Berglund, Per
Mayr, P.
Stability of vector bundles from F-theory
title Stability of vector bundles from F-theory
title_full Stability of vector bundles from F-theory
title_fullStr Stability of vector bundles from F-theory
title_full_unstemmed Stability of vector bundles from F-theory
title_short Stability of vector bundles from F-theory
title_sort stability of vector bundles from f-theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/1999/12/009
http://cds.cern.ch/record/384822
work_keys_str_mv AT berglundper stabilityofvectorbundlesfromftheory
AT mayrp stabilityofvectorbundlesfromftheory

Ejemplares similares