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    Bispectral duality and separation of variables from surface defect transition by Saebyeok Jeong, Norton Lee

    Published 2024-12-01
    “…Utilizing the results from our previous works, which establish that the Q-observables and the H-observables give rise, respectively, to the Q-operators on the evaluation module over the Yangian Y( gl $$ \mathfrak{gl} $$ (2)) and the Hecke operators on the twisted sl ̂ $$ \hat{\mathfrak{sl}} $$ (N)-coinvariants, we derive an exact duality between the spectral problems of the gl $$ \mathfrak{gl} $$ (2) XXX spin chain with N sites and the sl $$ \mathfrak{sl} $$ (N) Gaudin model with 4 sites, both of which are defined on bi-infinite modules. …”
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