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|Title:||Holomorphic bundles for higher dimensional gauge theory|
Prata, Daniela M.
Sá Earp, Henrique N.
|Abstract:||Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain non-compact 3-folds, called building blocks, satisfying a stability condition 'at infinity'. Such bundles are known to parametrize solutions of the Yang-Mills equation over the G2-manifolds obtained from asymptotically cylindrical Calabi-Yau 3-folds studied by Kovalev, Haskins et al. and Corti et al. The most important tool is a generalization of Hoppe's stability criterion to holomorphic bundles over smooth projective varieties X with PicX≃Zl, a result which may be of independent interest. Finally, we apply monads to produce a prototypical model of the curvature blow-up phenomenon along a sequence of asymptotically stable bundles degenerating into a torsion-free sheaf.|
Campos de calibre (Física)
Gauge fields (Physics)
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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