OPERATOR PRODUCT EXPANSION IN SL(2) CONFORMAL FIELD THEORY

DOI10.1142/S021773230200703XzbMath1083.81583arXivhep-th/0105283MaRDI QIDQ5312277

Kazuo Hosomichi, Yuji Satoh

Publication date: 31 August 2005

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

Full work available at URL: https://arxiv.org/abs/hep-th/0105283

zbMATH Keywords

WZNW modelOPE\(\text{SL}(2)\)

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (6)

Note on Z2 symmetries of the Knizhnik-Zamolodchikov equation ⋮ Spectral flow and conformal blocks in \(\mathrm{AdS}_{3}\) ⋮ The string theory on \(\mathrm{AdS}_{3}\) as a marginal deformation of a linear dilaton background ⋮ Three-point function in perturbed Liouville gravity ⋮ ON FACTORIZATION CONSTRAINTS FOR BRANES IN THE ${\rm H}_3^+$ MODEL ⋮ THE STOYANOVSKY–RIBAULT–TESCHNER MAP AND STRING SCATTERING AMPLITUDES

Cites Work

• Fusion algebra at a rational level and cohomology of nilpotent subalgebras of \(\widehat{\mathfrak sl}(2)\)
• Two- and three-point functions in Liouville theory
• On structure constants and fusion rules in the \(SL(2,\mathbb{C})/SU(2)\)-WZNW model
• Operator product expansion and factorization in the \(H^+_3\)-\(\text{WZNW}\) model
• Little string theory in a double scaling limit
• More comments on string theory on \(\text{AdS}_3\)
• Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models
• Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level
• Conformal blocks for admissible representations in \(SL(2)\) current algebra
• Conformal bootstrap in Liouville field theory
• Interactions in the \(\text{SL}(2,\mathbf R)/\text{U}(1)\) black hole background
• FUSION RULES FOR THE FRACTIONAL LEVEL $\widehat{{\rm sl}(2)}$ ALGEBRA
• Strings in AdS3 and the SL(2,R) WZW model. I: The spectrum
• Modular invariance of string theory on \(\text{AdS}_ 3\).
• Free field approach to string theory on \(\text{AdS}_3\)
• Path integral approach to string theory on \(\text{AdS}_ 3\).

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