Quasiclassical asymptotics of solutions to the KZ equations
Nicolai Reshetikhin, Alexander Varchenko
TL;DR
This paper investigates the quasiclassical asymptotics of the KZ equations and connects solutions in this limit to Bethe vectors in the Gaudin spin chain model.
Contribution
It introduces a detailed analysis of the asymptotic behavior of KZ solutions and their relation to Bethe vectors, providing new insights into integrable models.
Findings
Established a link between KZ asymptotics and Bethe vectors
Derived explicit asymptotic formulas for solutions
Enhanced understanding of integrable spin chain models
Abstract
The quasiclassical asymptotics of the Knizhnik-Zamolodchikov system is studied. Solutions to this system in this limit are related naturally to Bethe vectors in the Gaudin model of spin chains.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons