Kac-Moody group representations and generalization of the Sugawara construction of the Virasoro algebra

DOI10.1007/BF00402018zbMath0657.17014MaRDI QIDQ1110644

Victor Aldaya, Jose Navarro-Salas

Publication date: 1988

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

highest weight representationscentral extensionspolarizationsstringsVirasoro algebracommutation relationssubalgebrasaffine Kac-Moody algebragroup lawsSugawara constructionperturbative techniqueinfinite- dimensional Lie groupvacuum symmetrywave functions of representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Quantum field theory; related classical field theories (81T99) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (3)

Quantum dynamics on (super)groups: Constraints and the ‘‘BRST’’ supergroup ⋮ Algebraic quantization on a group and nonabelian constraints ⋮ Quantization on the Virasoro group

Cites Work

• Group manifold analysis of the structure of relativistic quantum dynamics
• Formal group laws for affine Kac-Moody groups and group quantization
• Current algebras and Wess-Zumino model in two dimensions
• Quantization as a consequence of the symmetry group: An approach to geometric quantization

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