Fock space resolutions of the Virasoro highest weight modules with \(c\leqslant 1\)

DOI10.1007/BF01885497zbMath0849.17027arXivhep-th/9108023MaRDI QIDQ1180728

Krzysztof Pilch, Peter Bouwknegt, J. G. McCarthy

Publication date: 27 June 1992

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

Full work available at URL: https://arxiv.org/abs/hep-th/9108023

zbMATH Keywords

Felder's constructionFock space resolutionsVirasoro highest weight modules

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Resolutions; derived functors (category-theoretic aspects) (18G10)

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Cites Work

• Irreducible decompositions of Fock representations of the Virasoro algebra
• Braid matrices and structure constants for minimal conformal models
• Quantum group structure in the Fock space resolutions of ŝl(n) representations
• Fock space representations of the Virasoro algebra. Intertwining operators
• Infinite conformal symmetry in two-dimensional quantum field theory
• Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra