A new view of the Virasoro algebra

DOI10.1007/BF00939700zbMath0789.17018arXivhep-th/9308144OpenAlexW132934165MaRDI QIDQ1317886

Karl-Henning Rehren

Publication date: 13 June 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9308144

zbMATH Keywords

Virasoro algebralocal quantum field theorychiral current algebra\(W\)-algebra extensionslocal commutation relations

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (13)

Topological sectors and a dichotomy in conformal field theory ⋮ Causality and dispersion relations and the role of the S-matrix in the ongoing research ⋮ Quantum operations on conformal nets ⋮ Generalized orbifold construction for conformal nets ⋮ Infinite index extensions of local nets and defects ⋮ Unnamed Item ⋮ Conformal covariance and positivity of energy in charged sectors ⋮ From Vertex Operator Algebras to Conformal Nets and Back ⋮ Local equivalence of representations of \(\mathrm{Diff}^+(S^1)\) corresponding to different highest weights ⋮ Thermal states in conformal QFT. II ⋮ Compact hypergroups from discrete subfactors ⋮ Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models ⋮ In and around abelian anyon models ^*

Cites Work

• Unnamed Item
• Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
• Unitary representations of some infinite dimensional groups
• Infinite-dimensional Lie algebras and Dedekind's \(\eta\)-function
• Fields, observables and gauge transformations. I
• HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY

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