Nested Bethe ansatz for RTT--algebra of sp(4) type
Cestmir Burdik, Ondrej Navratil
TL;DR
This paper develops a nested algebraic Bethe ansatz approach for highest weight representations of RTT--algebras of sp(4) type, extending previous work on sp(2n) and providing explicit Bethe vectors and equations.
Contribution
It introduces a general construction of Bethe vectors for sp(4) RTT--algebras and formulates a generalization to sp(2n).
Findings
Explicit Bethe vectors constructed for sp(4)
Derived Bethe equations for the model
Generalization to sp(2n) outlined
Abstract
We study the highest weight representations of the RTT--algebras for the R--matrix sp(4) type by the nested algebraic Bethe ansatz. These models were solved by Reshetikhin for sp(2n) but using a very special type of representation. The explicit construction of the Bethe vectors is carried out in the general case and the explicit formulae for the Bethe equations are derived. In conclusion, the direct generalization for sp(2n) is formulated.
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