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arXiv · hep-th/9904114

Stability of vector bundles from F-theory

P. Berglund·P. Mayr
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Abstract

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.

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P. Berglund, P. Mayr. 1999-04-15. Stability of vector bundles from F-theory. https://doi.org/10.1088/1126-6708%2F1999%2F12%2F009

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