Exact solution of a supersymmetric Gaudin model

Details Exact solution of a supersymmetric Gaudin model Exact solution of a supersymmetric Gaudin model

2003-10-03

arxiv.org/abs/math-ph/0310003v2

Physics

Mathematical Physics

20 pages, Latex

Scientific paper

A special case of the Gaudin model related to the superalgebra $osp(1,2)$ is investigated. An exact solution for the model in the spin-1/2 representation is presented. A complete set of commuting observables is diagonalized and the corresponding eigenvectors and eigenvalues are explicitly calculated. The approach used in this paper is based on the co-algebra symmetry of the model, already known from the spin-1/2 Calogero-Gaudin system.

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