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

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

2001-03-10

arxiv.org/abs/nlin/0103010v1

J.Math.Phys. 42 (2001) 4757-4778

Nonlinear Sciences

Exactly Solvable and Integrable Systems

25 pages, LaTeX2e

Scientific paper

10.1063/1.1398584

Gaudin model based on the orthosymplectic Lie superalgebra osp(1|2) is studied. The eigenvectors of the osp(1|2) invariant Gaudin hamiltonians are constructed by algebraic Bethe Ansatz. Corresponding creation operators are defined by a recurrence relation. Furthermore, explicit solution to this recurrence relation is found. The action of the creation operators on the lowest spin vector yields Bethe vectors of the model. The relation between the Bethe vectors and solutions to the Knizhnik-Zamolodchikov equation of the corresponding super-conformal field theory is established.

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