Group cocycles, line bundles, and anomalies

DOI10.1063/1.528547zbMath0695.55012OpenAlexW1996388534MaRDI QIDQ3471217

Matthias Blau

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528547

zbMATH Keywords

Dirac operatorscurvatureYang-Mills fieldscomplex line bundlesgroup cocyclesdeterminant line bundletransition functionsintegrated anomalyprincipal group actions

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80)

Related Items (4)

Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension ⋮ A relation between group- and Čech-cohomology in principal fiber bundles and anomalies ⋮ Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method ⋮ On the geometrical interpretation of locality in anomaly cancellation

Cites Work

• Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
• The evaluation map in field theory, sigma-models and strings. II
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• BRS cohomology and topological anomalies
• The index of elliptic operators. IV, V
• Dirac operators coupled to vector potentials
• Quantal phase factors accompanying adiabatic changes

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