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On a new form of Bethe ansatz equations and separation of variables in the \(\mathfrak{s}\mathfrak{l}_3 \) Gaudin model

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Abstract

A new form of Bethe ansatz equations is introduced. A version of a separation of variables for the quantum \(\mathfrak{s}\mathfrak{l}_3 \) Gaudin model is presented.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Indiana University-Purde University Indianapolis, 402 North Blackford St., Indianapolis, IN, 46202-3216, USA

    E. Mukhin & V. Tarasov

  2. Laboratoire Emile Picard, UFR MIG, Université Paul Sabatier, 118 route de Narbonne, F-31062, Toulouse cedex 4, France

    V. Schechtman

  3. St. Petersburg Department of the Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia

    V. Tarasov

  4. Department of Mathematics, University of North Carolina at Chapel Hill, CB 3250 Phillips Hall, Chapel Hill, NC, 27599, USA

    A. Varchenko

Authors
  1. E. Mukhin
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  2. V. Schechtman
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  3. V. Tarasov
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  4. A. Varchenko
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Dedicated to V.I. Arnold on the occasion of his 70th birthday

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Mukhin, E., Schechtman, V., Tarasov, V. et al. On a new form of Bethe ansatz equations and separation of variables in the \(\mathfrak{s}\mathfrak{l}_3 \) Gaudin model. Proc. Steklov Inst. Math. 258, 155–177 (2007). https://doi.org/10.1134/S0081543807030121

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  • DOI: https://doi.org/10.1134/S0081543807030121

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