Bethe vectors of the osp(1|2) Gaudin model

Details Bethe vectors of the osp(1|2) Gaudin model Bethe vectors of the osp(1|2) Gaudin model

2000-10-31

arxiv.org/abs/nlin/0010057v2

Lett.Math.Phys. 55 (2001) 77-95

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, Latex2e; added the norm of the eigenstates and some refereces

Scientific paper

The eigenvectors of the osp(1|2) invariant Gaudin hamiltonians are found using explicitly constructed creation operators. Commutation relations between the creation operators and the generators of the loop superalgebra are calculated. The coordinate representation of the Bethe states is presented. The relation between the Bethe vectors and solutions to the Knizhnik-Zamolodchikov equation yields the norm of the eigenvectors.

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