Bethe ansatz and isomondromy deformations

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 th...

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Veröffentlicht in:	Theoretical and mathematical physics 2009-05, Vol.159 (2), p.627-639
1. Verfasser:	Talalaev, D. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0040-5779 1573-9333
DOI:	10.1007/s11232-009-0051-1