# Nested Algebraic Bethe Ansatz in integrable models: recent results

@article{Pakuliak2018NestedAB, title={Nested Algebraic Bethe Ansatz in integrable models: recent results}, author={Stanislav Z. Pakuliak and Eric Ragoucy and Nikita Andreevich Slavnov}, journal={SciPost Physics Lecture Notes}, year={2018} }

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 provide a general expression
(as sum over partitions) for their scalar products. For some particular
cases (in the case of gl(3)gl(3)
or its quantum deformation, or of gl(2|1)gl(2|1… Expand

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