# 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}
}
• Published 28 February 2018
• Physics, Mathematics
• SciPost Physics Lecture Notes
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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