Faddeev's anomaly and bundle gerbes

DOI10.1007/BF00400136zbMath0848.22024MaRDI QIDQ1915192

Michael K. Murray, Alan L. Carey

Publication date: 21 October 1996

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

zbMATH Keywords

manifoldgauge groupinfinite-dimensional Lie groupsintegral cohomologyDixmier-Douady classbundle gerbesFaddeev anomalyFaddeev-Mickelsson 2-cocycle

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (8)

BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY ⋮ The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes ⋮ On the relationship of gerbes to the odd families index theorem ⋮ A Dixmier-Douady theorem for Fell algebras ⋮ Bundle gerbes and moduli spaces ⋮ Setting the quantum integrand of M-theory ⋮ Smooth 2-group extensions and symmetries of bundle gerbes ⋮ The Fermi gerbe of Weyl semimetals

Cites Work

• Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
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