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Journal of Mathematical Physics

Exact solution to a supersymmetric Gaudin model

Julia Breiderhoff, Fabio Musso, O. Ragnisco

Published Feb 15, 2005• 4 citations
Publisher

Abstract

We investigate a special case of the Gaudin model related to the superalgebra osp(1,2). We present an exact solution to that system diagonalizing a complete set of commuting observables, and providing the corresponding eigenvectors and eigenvalues. The approach used in this paper is based on the co-algebra symmetry of the model, already known from the Calogero–Gaudin system.

DOI
10.1063/1.1853503

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We investigate a special case of the Gaudin model related to the superalgebra osp(1,2). We present an exact solution to that system diagonalizing a complete set of commuting observables, and providing the corresponding eigenvectors and eigenvalues. The approach used in this paper is based on the co-algebra symmetry of the model, already known from the Calogero–Gaudin system.
A special case of the Gaudin model related to the superalgebra osp(1,2)osp(1,2)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.