scholarly journals Modified algebraic Bethe ansatz for XXZ chain on the segment – III – Proof

2015 ◽  
Vol 899 ◽  
pp. 229-246 ◽  
Author(s):  
J. Avan ◽  
S. Belliard ◽  
N. Grosjean ◽  
R.A. Pimenta
Keyword(s):  
Bethe Ansatz ◽  
Algebraic Bethe Ansatz ◽  
Xxz Chain

scholarly journals Introduction to the nested algebraic Bethe ansatz

2020 ◽  
Author(s):  
Nikita Slavnov
Keyword(s):  
Bethe Ansatz ◽  
Trace Formula ◽  
Integrable Models ◽  
Explicit Formulas ◽  
Algebraic Bethe Ansatz

We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a \mathfrak{gl}_3𝔤𝔩3-invariant RR-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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