Gaudin models with ${\CU}_q(\mathfrak{osp}(1 | 2))$ symmetry

Abstract

We consider a Gaudin model related to the q-deformed superalgebra ${\CU}_q(\mathfrak{osp}(1 | 2))$. 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 coalgebra supersymmetry of the model.

10 pages

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• An integrable discretization of the rational su(2) Gaudin model and related systems
• Quantum group deformation of the Kittel--Shore model