Gauge anomalies on S2 and group extensions

DOI10.1063/1.528222zbMath0673.22008OpenAlexW1983115511MaRDI QIDQ3826769

John Palmer, Alan L. Carey

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528222

zbMATH Keywords

gauge anomalydeterminant bundleKac-Moody extensiongroup of loopsgroup cocyclemaps from the disk into SU(n)

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Constructive quantum field theory (81T08) Applications of manifolds of mappings to the sciences (58D30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Currents in global analysis (58A25)

Related Items (1)

Higher bundle gerbes and cohomology classes in gauge theories

Cites Work

• Loop groups and equations of KdV type
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Holonomy and the Wess-Zumino term
• Quantum field theory, Grassmannians, and algebraic curves
• Another construction of the central extension of the loop group
• Dirac operators coupled to vector potentials

This page was built for publication: Gauge anomalies on S2 and group extensions