Abstract
We study the \( {\mathfrak{gl}}_{m\mid n} \) XXX spin chains defined on tensor products of highest weight \( {\mathfrak{gl}}_{m\mid n} \)-modules. We show that the on-shell Bethe vectors are eigenvectors of higher transfer matrices and compute the corresponding eigenvalues. Then we take the classical limits and obtain the corresponding results for the \( {\mathfrak{gl}}_{m\mid n} \) Gaudin models.
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Lu, K. On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains. J. High Energ. Phys. 2023, 120 (2023). https://doi.org/10.1007/JHEP04(2023)120
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DOI: https://doi.org/10.1007/JHEP04(2023)120