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Type: Artigo
Title: Holomorphic bundles for higher dimensional gauge theory
Author: Jardim, Marcos
Menet, Grégoire
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.
Subject: Fibrados vetoriais
Campos de calibre (Física)
Teoria de
Variedades de
Vector bundles
Gauge fields (Physics)
Yang-Mills theory
Calabi-Yau manifolds
Country: Reino Unido
Editor: Wiley
Rights: fechado
Identifier DOI: 10.1112/blms.12017
Date Issue: 2017
Appears in Collections:IMECC - Artigos e Outros Documentos

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