The computation of the operator algebra in non-diagonal conformal field theories

DOI10.1016/0003-4916(89)90275-3zbMath0699.46052OpenAlexW1984156733MaRDI QIDQ913203

Jürgen Fuchs, Albrecht Klemm

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0003-4916(89)90275-3

zbMATH Keywords

computation of the operator algebra in conformal field theoriescomputation of the operator algebra in conformal field theories with Feigin-Fuks type correlation functionsnon-diagonal theorieswith Feigin-Fuks type correlation functionsWZW theories

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)

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Cites Work

• Unnamed Item
• Unnamed Item
• Verma modules over the Virasoro algebra
• Non-Abelian bosonization in two dimensions
• Fusion rules and modular transformations in 2D conformal field theory
• Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions.
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Rationality in conformal field theory
• Infinite conformal symmetry in two-dimensional quantum field theory
• Current algebras and Wess-Zumino model in two dimensions
• Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models