MONODROMY OF SOLUTIONS OF THE KNIZHNIK-ZAMOLODCHIKOV EQUATION: SL(2)k WZNW MODEL

DOI10.1142/S0217751X04020506zbMath1080.81058OpenAlexW2757704161MaRDI QIDQ3370327

Bénédicte Ponsot

Publication date: 7 February 2006

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

Full work available at URL: https://doi.org/10.1142/s0217751x04020506

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Cites Work

• \(A_1^{(1)}\) admissible representations - fusion transformations and local correlators
• Monodromy of solutions of the Knizhnik-Zamolodchikov equation: SL\((2,\mathbb{C})\)/SU(2) WZNW model
• Classical and quantum conformal field theory
• Current algebras and Wess-Zumino model in two dimensions
• Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level
• FUSION RULES FOR THE FRACTIONAL LEVEL $\widehat{{\rm sl}(2)}$ ALGEBRA

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