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Solutions of the Gaudin Equation and Gaudin Algebras

A. B. Balantekin·T. Dereli·Y. Pehlivan
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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.

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A. B. Balantekin, T. Dereli, Y. Pehlivan. 2005-05-26. Solutions of the Gaudin Equation and Gaudin Algebras. https://doi.org/10.1088/0305-4470%2F38%2F25%2F007

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