Geodesic
Proof of the invariance of the Bethe-ansatz solutions under complex conjugation
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 1, pp. 154-159

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It is shown that the solutions to the systems of algebraic equations obtained when the Bethe ansatz is applied to the integrable $XXX$ and $XXZ$ magnets of arbitrary spin are invartant under complex conjugation. 
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     author = {A. A. Vladimirov},
     title = {Proof of the invariance of the {Bethe-ansatz} solutions under complex conjugation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {154--159},
     publisher = {mathdoc},
     volume = {66},
     number = {1},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a12/}
}
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A. A. Vladimirov. Proof of the invariance of the Bethe-ansatz solutions under complex conjugation. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 1, pp. 154-159. http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a12/