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arXiv:1911.12811 · SciPost Physics Lecture Notes

Introduction to the nested algebraic Bethe ansatz

Nikita Slavnov

Published Sep 2, 2020• 23 citations
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Abstract

We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a \mathfrak{gl}_3 𝔤 𝔩 3 -invariant R R -matrix as the basic example, however, we also describe possible generalizations. We give recursions and explicit formulas for the Bethe vectors. We also give a representation for the Bethe vectors in the form of a trace formula.

DOI
10.21468/scipostphyslectnotes.19

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