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The Toda\(_2\) chain

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Abstract

We show that a natural discretisation of Virasoro algebra yields a quantum integrable model which is the Toda chain in the second Hamiltonian structure.

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Notes

  1. One should identify \(\alpha _n \simeq Q_n^2\), \(\beta _n \simeq P_n\). We thank the referee for pointing this fact to us.

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Acknowledgements

O.B. thanks E. K. Sklyanin for stimulating discussions.

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Authors and Affiliations

  1. UPMC Univ Paris 06, CNRS, UMR 7589, LPTHE, Sorbonne Universités, 75005, Paris, France

    O. Babelon

  2. ENS de Lyon, Univ Claude Bernard Lyon 1, CNRS, Laboratoire de Physique, Univ Lyon, 69342, Lyon, France

    K. K. Kozlowski

  3. CNRS, CEA, IPhT, Univ. Paris Saclay, 91191, Gif-sur-Yvette, France

    V. Pasquier

Authors
  1. O. Babelon
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  2. K. K. Kozlowski
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  3. V. Pasquier
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Correspondence to K. K. Kozlowski.

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Babelon, O., Kozlowski, K.K. & Pasquier, V. The Toda\(_2\) chain. Lett Math Phys 109, 225–241 (2019). https://doi.org/10.1007/s11005-018-1111-y

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  • DOI: https://doi.org/10.1007/s11005-018-1111-y

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