ODE/IQFT correspondence for the generalized affine $\mathfrak{sl}(2)$ Gaudin model

Gleb A. Kotousov, Sergei L. Lukyanov

An integrable system is introduced, which is a generalization of the $\mathfrak{sl}(2)$ quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their…