The Complex of Solutions of the Nested Bethe Ansatz. The A_2 Spin Chain
G.P. Pronko (Institute for High Energy Physics, Protvino, Russia and, International Solvay Institute, Brussels, Belgium), Yu.G. Stroganov, (Institute for High Energy Physics, Protvino, Russia)
TL;DR
This paper constructs the complete set of polynomial solutions for the nested Bethe Ansatz in the A_2 rational spin chain, revealing more complex structures than the A_1 case while maintaining similar roles.
Contribution
It provides the full polynomial solutions for the nested Bethe Ansatz in the A_2 spin chain, expanding understanding of solution structures beyond the simpler A_1 case.
Findings
More diverse solution structures than A_1 spin chain
Complete set of polynomial solutions constructed
Insights into the role of solutions in A_2 chain
Abstract
The full set of polynomial solutions of the nested Bethe Ansatz is constructed for the case of A_2 rational spin chain. The structure and properties of these associated solutions are more various then in the case of usual XXX (A_1) spin chain but their role is similar.
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