Nested Bethe Ansatz for RTT Algebra of U_q(sp(2n) Type
C. Burdik, O. Navratil
TL;DR
This paper extends the nested algebraic Bethe ansatz method to highest weight representations of RTT algebras associated with the sp_q(2n) R-matrix, generalizing previous work on related algebra types.
Contribution
It introduces a generalized approach for the nested Bethe ansatz applicable to sp_q(2n) type RTT algebras, expanding the theoretical framework.
Findings
Developed a new nested Bethe ansatz for sp_q(2n) RTT algebra
Characterized highest weight representations in this setting
Extended previous methods from sp(2n) and so(2n) types
Abstract
We study the highest weight representations of the RTT algebras for the R matrix of sp_q(2n) type by the nested algebraic Bethe ansatz. It is a generalization of our study for R matrix of sp(2n) and so(2n) type
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