Berglund, Per; Mayr, Peter Stability of vector bundles from F-theory. (English) Zbl 0953.14025 J. High Energy Phys. 1999, No. 12, Paper No. 9, 9p. (1999). Summary: We use a recently proposed construction of stable holomorphic vector bundles \(V\) on elliptically fibered Calabi-Yau \(n\)-folds \(Z_n\) in terms of F-theory compactifications on local singularities to describe stability conditions on \(V\). Specifically, the requirement that the F-theory compactification manifold is Calabi-Yau implies a stability criterion on \(V\) which is formulated in terms of the existence of holomorphic sections of certain line bundles. Cited in 3 Documents MSC: 14J32 Calabi-Yau manifolds (algebro-geometric aspects) 81T99 Quantum field theory; related classical field theories 14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli Keywords:stable holomorphic vector bundles; elliptically fibered Calabi-Yau \(n\)-fold; F-theory compactifications PDFBibTeX XMLCite \textit{P. Berglund} and \textit{P. Mayr}, J. High Energy Phys. 1999, No. 12, Paper No. 9, 9p. (1999; Zbl 0953.14025) Full Text: DOI arXiv