arXiv:math-ph/0505071·v1·Mathematical Physics
Solutions of the Gaudin Equation and Gaudin Algebras
A.B. Balantekin (Wisconsin U., Madison)🇺🇸 · T. Dereli (Koc U.)🇹🇷 · Y. Pehlivan (Izmir Inst. Tech.)🇹🇷
Abstract
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.
Comments: 15 pages of LATEX