sl_2 Gaudin model with Jordanian twist

Details sl_2 Gaudin model with Jordanian twist sl_2 Gaudin model with Jordanian twist

2005-06-13

arxiv.org/abs/nlin/0506029v2

Journal of Mathematical Physics 46 102701 (2005)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages; corrected typos

Scientific paper

10.1063/1.2036932

sl_2 Gaudin model with Jordanian twist is studied. This system can be obtained as the semiclassical limit of the XXX spin chain deformed by the Jordanian twist. The appropriate creation operators that yield the Bethe states of the Gaudin model and consequently its spectrum are defined. Their commutation relations with the generators of the corresponding loop algebra as well as with the generating function of integrals of motion are given. The inner products and norms of Bethe states and the relation to the solutions of the Knizhnik-Zamolodchikov equations are discussed.

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