The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem (Q1202955)

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.