scientific article; zbMATH DE number 719251

zbMath0824.17028arXivhep-th/9404093MaRDI QIDQ4320885

Jouko Mickelsson

Publication date: 6 February 1995

Full work available at URL: https://arxiv.org/abs/hep-th/9404093

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zbMATH Keywords

current algebraspseudo-differential operatorsSchwinger termsquantum \(W_ \infty\) algebraRadul 2-cocycle

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) 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) Anomalies in quantum field theory (81T50) Renormalization group methods applied to problems in quantum field theory (81T17) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (10)

Elementary derivation of the chiral anomaly ⋮ Schwinger terms and cohomology of pseudodifferential operators ⋮ Extensions of lattice groups, gerbes and chiral fermions on a torus ⋮ Renormalized traces and cocycles on the algebra of \(S^{1}\)-pseudo-differential operators ⋮ 3D Current Algebra and Twisted K Theory ⋮ The phase of the scattering operator from the geometry of certain infinite-dimensional groups ⋮ The Schwinger cocycle on algebras with unbounded operators ⋮ Fractional loop group and twisted \(K\)-theory ⋮ Chern forms on mapping spaces ⋮ On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.

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