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

Fabio Musso; Matteo Petrera; Orlando Ragnisco; Giovanni Satta

doi:10.1016/j.nuclphysb.2005.03.008

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

Mathematical Physics 2009-11-11 v2 math.MP Exactly Solvable and Integrable Systems

Authors: Fabio Musso , Matteo Petrera , Orlando Ragnisco , Giovanni Satta

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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.

Keywords

gaudin model q-deformed superalgebra coalgebra supersymmetry exact solution commuting observables

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@article{arxiv.math-ph/0501040,
  title  = {Gaudin models with ${\CU}_q(\mathfrak{osp}(1 | 2))$ symmetry},
  author = {Fabio Musso and Matteo Petrera and Orlando Ragnisco and Giovanni Satta},
  journal= {arXiv preprint arXiv:math-ph/0501040},
  year   = {2009}
}

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10 pages

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

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