2024/05/30 by Gerrard, Allan John
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2405.20177
We propose a new framework for the nested algebraic Bethe ansatz for a closed, rational spin chain with \mathfrakg-symmetry for any simple Lie algebra \mathfrakg. Starting the nesting process by removing a single simple root from \mathfrakg, we use the residual U(1) charge and the block Gauss decomposition of the R-matrix to derive many standard results in the Bethe ansatz, such as the nesting of Yangian algebras, and the AB commutation relation.