TL;DR
This paper explores the relationship between the Stokes phenomenon and the Yang-Baxter equations by analyzing the monodromy of dynamical Knizhnik-Zamolodchikov equations, revealing new braid group representations.
Contribution
It introduces a novel connection between Stokes matrices and the Yang-Baxter equation through monodromy analysis of dynamical KZ equations.
Findings
Stokes matrices satisfy the Yang-Baxter equation
Monodromy defines braid group representations
New insights into the interplay between Stokes phenomena and integrable systems
Abstract
We describe the monodromy of dynamical Knizhnik-Zamolodchikov equations via Stokes phenomenon. It defines a family of braid groups representations by certain Stokes matrices. In particular, these Stokes matrices satisfy the Yang-Baxter equation.
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