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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 2, Pages 252–265
DOI: https://doi.org/10.4213/tmf6346 (Mi tmf6346) 		 
Bethe ansatz and isomondromy deformations

D. V. Talalaev

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
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DOI: https://doi.org/10.4213/tmf6346
Abstract: 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.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 2, Pages 627–639
DOI: https://doi.org/10.1007/s11232-009-0051-1
Bibliographic databases:
Language: Russian
Citation: D. V. Talalaev, “Bethe ansatz and isomondromy deformations”, TMF, 159:2 (2009), 252–265; Theoret. and Math. Phys., 159:2 (2009), 627–639
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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