Generalized holomorphic bundles and the B-field action

DOI10.1016/j.geomphys.2010.10.014zbMath1210.53079arXiv1010.0207OpenAlexW2040525309MaRDI QIDQ617973

Nigel J. Hitchin

Publication date: 14 January 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0207

zbMATH Keywords

\(B\)-fieldHiggs fieldgerbegeneralized complex structureco-Higgs bundlegeneralized holomorphic bundletwisted \(B\)-field

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Differential complexes (58J10) Holomorphic bundles and generalizations (32L05) Connections (general theory) (53C05) Differential geometric aspects of gerbes and differential characters (53C08) Generalized geometries (à la Hitchin) (53D18)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized complex geometry
• On the construction of monopoles
• Monopoles and geodesics
• Higgs bundles and local systems
• Moduli of representations of the fundamental group of a smooth projective variety. II
• Holomorphic vector fields and Kaehler manifolds
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• Generalized Calabi-Yau Manifolds
• Vector Bundles on the Projective Plane
• Loop spaces, characteristic classes and geometric quantization