Introduction to the nested algebraic Bethe ansatz
N. A. Slavnov
SciPost Phys. Lect. Notes 19 (2020) · published 2 September 2020
Part of the 2018-08: Integrability in Atomic and Condensed Matter Physics Collection in the Les Houches Summer School Lecture Notes Series.
- doi: 10.21468/SciPostPhysLectNotes.19
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Abstract
We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a $\mathfrak{gl}_3$-invariant $R$-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.
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