Stability of vector bundles from F-theory

Academic Article


  • 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.
  • Authors

  • Berglund, Per
  • Mayr, P
  • Status

    Publication Date

  • December 1999
  • Published In


  • F-theory
  • string duality
  • superstring vacua
  • superstrings and heterotic strings
  • Digital Object Identifier (doi)

    Start Page

  • 009
  • End Page

  • 009
  • Volume

  • 1999
  • Issue

  • 12