Solutions of the Gaudin Equation and Gaudin Algebras
  Three well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions we introduce a class of mutually commuting Hamiltonians based on a different solution of the Gaudin equation. Application of the algebraic Bethe ansatz technique to diagonalize these Hamiltonians reveals a new infinite dimensional complex Lie algebra. 
A.B. Balantekin (Wisconsin U., Madison), T. Dereli (Koc U.), Y.   Pehlivan (Izmir Inst. Tech.)