D-E classification of the local extensions of \(SU_ 2\) current algebras

DOI10.1007/BF01017084zbMath0813.17022OpenAlexW2088539463MaRDI QIDQ1326811

V. Pereyra

Publication date: 13 July 1994

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017084

zbMATH Keywords

conformal field theoryVirasoro algebraADE-classificationlocal extensions of chiral current algebra

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (4)

Classification of the local extensions of the SU(2)×SU(2) chiral current algebras ⋮ Zero modes' fusion ring and braid group representations for the extended chiral su(2) WZNW model ⋮ Unnamed Item ⋮ On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories

Cites Work

• Infinite conformal symmetry in two-dimensional quantum field theory
• Modular invariant partition functions in two dimensions
• Current algebras and Wess-Zumino model in two dimensions
• Coherent state operators and \(n\)-point invariants for \(U_ q ( sl (2))\)
• Covariant differential equations and singular vectors in Virasoro representations
• HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY
• A Proof of Modular Invariance
• Invariants of Finite Groups Generated by Reflections

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