Kac-Moody current algebras of \(D=2\) massless gauge theories, their representations and applications

DOI10.1016/0003-4916(87)90081-9zbMath0622.17005OpenAlexW1978213056MaRDI QIDQ1090751

N. S. Craigie, Werner Nahm, Kumar S. Narain

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0003-4916(87)90081-9

zbMATH Keywords

boundary conditionscollective modesnonlinear sigma modelfractional solitonsKac-Moody current algebrasmassless fermion-gauge theoriesmonopole-fermion systemsrepresentation of local fermion fieldssimply laced Kac-Moody algebras with minimal central charge

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of quantum theory to specific physical systems (81V99)

Related Items

Stationary phase approximation and quantum soliton families, Analytic vectors, anomalies and star representations

Cites Work

• Some new conservation laws
• Non-Abelian bosonization in two dimensions
• Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions.
• Structure of some standard modules for \(C_ n^{(1)}\)
• Kac-Moody algebras, conformal symmetry and critical exponents
• Current algebras and Wess-Zumino model in two dimensions
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• Basic representations of affine Lie algebras and dual resonance models
• Particle states of a quantized meson field
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations