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Nested Algebraic Bethe Ansatz in integrable models: recent results

Nested Algebraic Bethe Ansatz in integrable models: recent results

We review the recent results we have obtained in the framework of algebraic Bethe ansatz based on algebras and superalgebras of rank greater than 1 or on their quantum deformation. We present different expressions (explicit, recursive or using the current realization of the algebra) for the Bethe vectors. Then, we …