The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem
Copyright policy )The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem
The author studies the system of differential equations which was discovered in researching correlation functions in the two-dimensional model of conformal field theory with a Wess-Zumino-Witten Lagrangian function and is called Knizhnik-Zamalodchikov system. It is shown that the Knizhnik-Zamolodchikov system and its generalizations (corresponding vector bundle) can be regarded as a quantization of the isomonodromy problem for differential equations with rational coefficients. In particular, solutions of the Knizhnik-Zamolodchikov system can be viewed as a quantization of the isomonodromic \(\tau\)-function.
- University of California, Berkeley United States
Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation), Quantum groups (quantized enveloping algebras) and related deformations, conformal field theory, Knizhnik-Zamalodchikov system, quantization of the isomonodromic \(\tau\)-function, Quantum groups and related algebraic methods applied to problems in quantum theory, isomonodromy problem, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation), Quantum groups (quantized enveloping algebras) and related deformations, conformal field theory, Knizhnik-Zamalodchikov system, quantization of the isomonodromic \(\tau\)-function, Quantum groups and related algebraic methods applied to problems in quantum theory, isomonodromy problem, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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