Solvable gaudin models for higher rank symplectic algebras

@article{Wagner2000SolvableGM,
  title={Solvable gaudin models for higher rank symplectic algebras},
  author={Frank Wagner and Alan J. Macfarlane},
  journal={Czechoslovak Journal of Physics},
  year={2000},
  volume={50},
  pages={1371-1377}
}
We study generalisations of theXXX-model to higher rank underlying symplectic algebras in the semi-classical approximation. With the help of the metaplectic representation ofsp(2n,ℝ) we establish general results that are useful in the analysis of these algebras, and hence solve the algebraic Bethe ansatz explicitly in this representation. Thesu(n) multiplet structure of the Bethe eigenstates is revealed.