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Strong integrability of the bi-YB–WZ model

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Abstract

We identify the r-matrix governing the Poisson brackets of the matrix elements of the Lax operator of the bi-YB–WZ model.

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Notes

  1. This statement is true up to some zero modes subtleties.

  2. Actually, the action of the bi-YB–WZ model obtained in [30] coincides with the expression (2.1) upon the field redefinition replacing the group valued field m by its inverse.

  3. If it does depend on the phase space variables, it is called a dynamical r-matrix.

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  1. CNRS, Centrale Marseille, Aix Marseille Université, I2M, UMR 7373, 13453, Marseille, France

    Ctirad Klimčík

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Klimčík, C. Strong integrability of the bi-YB–WZ model. Lett Math Phys 110, 2397–2416 (2020). https://doi.org/10.1007/s11005-020-01300-1

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