Higher-order Hamiltonians for the trigonometric Gaudin model

  • Alexander MolevEmail author
  • Eric Ragoucy


We consider the trigonometric classical r-matrix for \(\mathfrak {gl}_N\) and the associated quantum Gaudin model. We produce higher Hamiltonians in an explicit form by applying the limit \(q\rightarrow 1\) to elements of the Bethe subalgebra for the XXZ model.


Gaudin model Quantum affine algebra Bethe subalgebra 

Mathematics Subject Classification

81R50 17B37 



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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of SydneySydneyAustralia
  2. 2.Laboratoire de Physique Théorique LAPThCNRS and Université de SavoieAnnecy-le-Vieux CedexFrance

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