Higher bundle gerbes and cohomology classes in gauge theories

DOI10.1016/S0393-0440(96)00014-9zbMath0884.55004arXivhep-th/9511169MaRDI QIDQ1349442

Alan L. Carey, Michael K. Murray, Bai-Ling Wang

Publication date: 2 April 1998

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

Full work available at URL: https://arxiv.org/abs/hep-th/9511169

zbMATH Keywords

manifoldsgauge theoryintegral cohomologybundle gerbeFaddeev-Mickelsson cocyclegeometrical realization

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Sheaf cohomology in algebraic topology (55N30) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Realizing cycles by submanifolds (57R95)

Related Items (7)

Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories ⋮ On the relationship of gerbes to the odd families index theorem ⋮ Global gauge anomalies in two-dimensional bosonic sigma models ⋮ The 2-Hilbert space of a prequantum bundle gerbe ⋮ The basic bundle gerbe on unitary groups ⋮ Central extensions of gauge transformation groups of higher Abelian gerbes ⋮ RIGIDIFIED TORSOR COCYCLES, HYPERCOVERINGS AND BUNDLE GERBES

Cites Work

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• On a relation between massive Yang-Mills theories and dual string models
• Index theory, gerbes, and Hamiltonian quantization
• Dirac operators coupled to vector potentials
• Gauge anomalies on S2 and group extensions
• Realizing 3-cocycles as obstructions

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