• Corpus ID: 119611714

Universal G-oper and Gaudin eigenproblem

@article{Chervov2004UniversalGA,
  title={Universal G-oper and Gaudin eigenproblem},
  author={Alexander Chervov and Dmitry V. Talalaev},
  journal={arXiv: High Energy Physics - Theory},
  year={2004}
}
This paper is devoted to the eigenvalue problem for the quantum Gaudin system. We prove the universal correspondence between eigenvalues of Gaudin Hamiltonians and the so-called G-opers without monodromy in general gl(n) case modulo a hypothesys on the analytic properties of the solution of a KZ-type equation. Firstly we explore the quantum analog of the characteristic polynomial which is a differential operator in a variable $u$ with the coefficients in U(gl(n))^{\otimes N}. We will call it… 

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