Wess-Zumino-Witten conformal field theory for simply laced groups at level one

DOI10.1016/0003-4916(92)90047-PzbMath0752.22014OpenAlexW2032604472MaRDI QIDQ1191720

Eric Charpentier, Krzysztof Gawędzki

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0003-4916(92)90047-p

zbMATH Keywords

conformal field theorycocyclesvertex operator representationaffine Kac-Moody symmetriessimply laced groups

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (2)

On conformal field theory and stochastic Loewner evolution ⋮ Bosonization in background of metric and gauge

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-Abelian bosonization in two dimensions
• Algebraic geometry and the geometry of quantum strings
• Classical and quantum conformal field theory
• Geometric quantization of Chern-Simons gauge theory
• Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
• Quantum group structure in the Fock space resolutions of ŝl(n) representations
• Unitary representations of the Virasoro and super-Virasoro algebras
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Spectra of Wess-Zumino-Witten models with arbitrary simple groups
• Bosonization on higher genus Riemann surfaces
• \(c=I\) conformal field theories on Riemann surfaces
• Infinite conformal symmetry in two-dimensional quantum field theory
• Virasoro algebras and coset space models
• Current algebras and Wess-Zumino model in two dimensions
• Quantum field theory and the Jones polynomial
• Realization of the basic representations of the Euclidean Lie algebras
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Analytic torsion for complex manifolds
• Flat connections and geometric quantization
• String path integral realization of vertex operator algebras

This page was built for publication: Wess-Zumino-Witten conformal field theory for simply laced groups at level one