On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations
DOI10.1016/s0920-5632(97)00336-8zbMath0925.58102OpenAlexW1992934245MaRDI QIDQ6205132
Publication date: 10 June 1997
Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0920-5632(97)00336-8
Lie algebra cohomologySchwinger terms(1+1)D Kac Moody algebras(3+1)D Mickelsson Faddeev algebrascurrent algebra regularizationinfinite dimensional Lie algebra map
Pseudodifferential operators as generalizations of partial differential operators (35S05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Pseudodifferential and Fourier integral operators on manifolds (58J40)
Cites Work
- Chiral anomalies in even and odd dimensions
- Universal Schwinger cocycles of current algebras in \((D+1)\)-dimensions: Geometry and physics
- Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
- On the Mickelsson-Faddeev extension and unitary representations
- Fermion current algebras and Schwinger terms in \((3+1)\)-dimensions
- Strings and symmetries. Proceedings of the Gürsey memorial conference I, held at Istanbul, Turkey, 6-10 June 1994
- Schwinger terms and cohomology of pseudodifferential operators
- BRS operators and covariant derivatives in loop space for \(p\)-branes coupled to Yang-Mills.
- Higher-dimensional loop algebras, non-abelian extensions and \(p\)-branes
- A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
- Hilbert space cocycles as representations of \((3+1)\)-D current algebras
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
This page was built for publication: On higher-dimensional loop algebras, pseudodifferential operators and Fock space realizations
