Hilbert space cocycles as representations of \((3+1)\)-D current algebras
DOI10.1007/BF00750302zbMath0781.22016arXivhep-th/9210069MaRDI QIDQ2368136
Publication date: 6 January 1994
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9210069
cocyclesFock spacegroup extensionschiral fermionsgauge theoriesunitary operatorscurrent algebrascompact Lie groupnormal representationsgroup of smooth maps
Yang-Mills and other gauge theories in quantum field theory (81T13) 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) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)
Related Items (4)
Cites Work
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- Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
- Chiral anomalies in even and odd dimensions
- Commutator anomalies and the Fock bundle
- Index formulas for generalized Wiener-Hopf operators and Boson-Fermion correspondence in 2N dimensions
- Hamiltonian interpretation of anomalies
- Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
- Quasi-free 'second quantization'
- On the Mickelsson-Faddeev extension and unitary representations
- Dirac operators coupled to vector potentials
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