Universal Schwinger cocycles of current algebras in \((D+1)\)-dimensions: Geometry and physics
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Publication:753230
DOI10.1007/BF02096983zbMath0716.58033MaRDI QIDQ753230
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of global analysis to the sciences (58Z05) Applications of Lie groups to the sciences; explicit representations (22E70) Currents in global analysis (58A25)
Related Items (10)
Fermion current algebras and Schwinger terms in \((3+1)\)-dimensions ⋮ Ferretti-Rajeev term and homotopy theory ⋮ Scattering matrix in external field problems ⋮ Descent equations of Yang-Mills anomalies in noncommutative geometry ⋮ Schwinger terms and cohomology of pseudodifferential operators ⋮ Generalizations of the Wess–Zumino–Witten model and Ferretti–Rajeev model to any dimensions: CP-invariance and geometry ⋮ On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations ⋮ Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev cocycle ⋮ REGULARIZED CALCULUS: AN APPLICATION OF ZETA REGULARIZATION TO INFINITE DIMENSIONAL GEOMETRY AND ANALYSIS ⋮ Mickelsson-Rajeev cocycle corresponding to dimension five
Cites Work
- Non-commutative differential geometry
- Measures on infinite dimensional Grassmann manifolds
- Current algebra representation for the \(3+1\) dimensional Dirac-Yang-Mills theory
- Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
- On the Mickelsson-Faddeev extension and unitary representations
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