Stability of vector bundles from F-theory

Details Stability of vector bundles from F-theory Stability of vector bundles from F-theory

1999-04-15

arxiv.org/abs/hep-th/9904114v1

JHEP9912:009,1999

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, harvmac (b)

Scientific paper

10.1088/1126-6708/1999/12/009

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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