New Semiclassical Non-Abelian Vertex Operators for Chiral and Nonchiral WZW Theory

DOI10.1142/S0217751X97002358zbMath0899.17020arXivhep-th/9610081MaRDI QIDQ4211955

M. B. Halperin, Niels A. Obers

Publication date: 18 October 1998

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9610081

zbMATH Keywords

braid relationsprimary fields of WZW theorysemiclassical affine-Sugawara conformal blockssemiclassical non-abelian vertex operatorssemiclassical operator product expansions

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

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Cites Work

• Quantum group interpretation of some conformal field theories
• Hidden quantum symmetries in rational conformal field theories
• Affine Kac-Moody algebras and semi-infinite flag manifolds
• Non-Abelian bosonization in two dimensions
• On the exchange matrix for WZNW model
• On the structure of unitary conformal field theory. II: Representation theoretic approach
• Quantization of the Wess-Zumino-Witten model on a circle.
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• Vertex operators in the conformal field theory on \(\mathbb P^1\) and monodromy representations of the braid group
• Virasoro algebras and coset space models
• Current algebras and Wess-Zumino model in two dimensions
• Locality of conformal fields in two dimensions: Exchange algebra on the light-cone
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Quantum groups and WZNW models
• On holomorphic factorization of WZW and coset models
• Hidden quantum groups inside Kac-Moody algebras
• Duality and quantum groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Quantisation of the \(\text{SU}(N)\) WZW model at level \(k\)
• An explicit construction of the quantum group in chiral WZW-models
• Irrational conformal field theory
• AN EXPLICIT CONSTRUCTION OF WAKIMOTO REALIZATIONS OF CURRENT ALGEBRAS
• THE WZW MODEL AS A DYNAMICAL SYSTEM ON AFFINE LIE GROUPS
• SEMICLASSICAL BLOCKS AND CORRELATORS IN RATIONAL AND IRRATIONAL CONFORMAL FIELD THEORY
• QUASI-EXACTLY-SOLVABLE QUANTAL PROBLEMS: ONE-DIMENSIONAL ANALOGUE OF RATIONAL CONFORMAL FIELD THEORIES