Bethe ansatz and Isomonodromic deformations
Mathematical Physics
2015-05-13 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We study symmetries of the Bethe equations for the Gaudin model appeared naturally in the framework of the geometric Langlands correspondence under the name of Hecke operators and under the name of Schlesinger transformations in the theory of isomonodromic deformations, and particularly in the theory of Painlev\'e transcendents.
Keywords
Cite
@article{arxiv.0802.0383,
title = {Bethe ansatz and Isomonodromic deformations},
author = {D. Talalaev},
journal= {arXiv preprint arXiv:0802.0383},
year = {2015}
}
Comments
14 pages, extended version of the talk given at CQIS-2008, the hypothesis proved