Exact solution to a supersymmetric Gaudin model

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.