Geodesic
Action of the~monodromy matrix elements in the~generalized algebraic Bethe ansatz
Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 3, pp. 555-576

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We consider an $XYZ$ spin chain within the framework of the generalized algebraic Bethe ansatz. We calculate the actions of monodromy matrix elements on Bethe vectors as linear combinations of new Bethe vectors. We also compute the multiple action of the gauge-transformed monodromy matrix elements on the pre-Bethe vector and express the results in terms of the partition function of the $8$-vertex model.
Keywords: generalized algebraic Bethe ansatz, Bethe vectors, gauge transformed monodromy matrix, domain-wall partition function. 
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     author = {G. Kulkarni and N. A. Slavnov},
     title = {Action of the~monodromy matrix elements in the~generalized algebraic {Bethe} ansatz},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {555--576},
     publisher = {mathdoc},
     volume = {217},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_217_3_a8/}
}
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G. Kulkarni; N. A. Slavnov. Action of the~monodromy matrix elements in the~generalized algebraic Bethe ansatz. Teoretičeskaâ i matematičeskaâ fizika, Tome 217 (2023) no. 3, pp. 555-576. http://geodesic.mathdoc.fr/item/TMF_2023_217_3_a8/