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The Gaudin model and the super Bethe ansatz for unitarizable modules over the general linear Lie (super)algebra
Bintao Cao, Wan Keng Cheong, Ngau Lam
Let be the Gaudin algebra for the general linear Lie (super)algebra with respect to a sequence of…
Dualities of Gaudin models with irregular singularities for general linear Lie (super)algebras
Wan Keng Cheong, Ngau Lam
We prove an equivalence between the actions of the Gaudin algebras with irregular singularities for and on the Fock space of bo…
Bethe algebras for unitarizable modules over classical Lie (super)algebras and a duality
Wan Keng Cheong, Ngau Lam
Let denote the classical Lie algebra , , or with a fixed -structure . Let be un…
The Gaudin model for the general linear Lie superalgebra and the completeness of the Bethe ansatz
Wan Keng Cheong, Ngau Lam
Let be the Gaudin algebra of the general linear Lie superalgebra with respect to a sequence $\underline{\bold…
Quadratic and cubic Gaudin Hamiltonians and super Knizhnik-Zamolodchikov equations for general linear Lie superalgebras
Bintao Cao, Wan Keng Cheong, Ngau Lam
We show that under a generic condition, the quadratic Gaudin Hamiltonians associated to are diagonalizable on any singular weight space in any tensor produ…