Rational solutions of Knizhnik-Zamolodchikov system
Lev Sakhnovich
TL;DR
This paper proves that under certain conditions, solutions to the Knizhnik-Zamolodchikov system with rational coefficients are also rational, supporting a conjecture by Chervov and Talalaev.
Contribution
It establishes conditions under which solutions to the KZ system are rational, partially confirming a conjecture in the field.
Findings
Solutions are rational under specific conditions
Supports the Chervov-Talalaev conjecture
Advances understanding of KZ system solutions
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsadvanced mathematical theories · Advanced Differential Equations and Dynamical Systems · Spectral Theory in Mathematical Physics