Rational solutions of Knizhnik-Zamolodchikov system

2006/09/25 by Lev Sakhnovich, Sakhnovich, Lev
Mathematics · #34M05 #34M55 #47B38 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math-ph/0609067

openalex publication_date 2006/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions. We prove that under some conditions the solution of KZ system is rational too. This assertion confirms partially the conjecture of Chervov-Talalaev.

Citations

• Quantum spectral curves, quantum integrable systems and the geometric Langlands correspondence

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