Geodesic
Bethe ansatz and isomondromy deformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 252-265

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We study symmetries of the Bethe equations for the Gaudin model. These symmetries arise naturally under the name Hecke operator in the framework of the geometric Langlands correspondence and under the name Schlesinger transformation in the theory of isomondromy deformations, in particular, in the theory of Painlevé transcendents.
Keywords: Gaudin model, Bethe ansatz, isomondromy transformation. 
@article{TMF_2009_159_2_a5,
     author = {D. V. Talalaev},
     title = {Bethe ansatz and isomondromy deformations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {252--265},
     publisher = {mathdoc},
     volume = {159},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a5/}
}
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D. V. Talalaev. Bethe ansatz and isomondromy deformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 252-265. http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a5/