Bethe ansatz and Isomonodromic deformations

Details Bethe ansatz and Isomonodromic deformations Bethe ansatz and Isomonodromic deformations

2008-02-04

arxiv.org/abs/0802.0383v2

Physics

Mathematical Physics

14 pages, extended version of the talk given at CQIS-2008, the hypothesis proved

Scientific paper

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.

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