Geodesic
Determinant representations for scalar products in the~algebraic Bethe ansatz
Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 3, pp. 435-443

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We study integrable models with $\mathfrak{gl}(2|1)$ symmetry that are solvable by the nested algebraic Bethe ansatz. We obtain a new determinant representation for scalar products of twisted and ordinary on-shell Bethe vectors. The obtained representation leads to a new formula for the scalar products in models with $\mathfrak{gl}(2)$ symmetry.
Keywords: algebraic Bethe ansatz, graded model.
Mots-clés : scalar product 
@article{TMF_2018_197_3_a6,
     author = {N. A. Slavnov},
     title = {Determinant representations for scalar products in the~algebraic {Bethe} ansatz},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {435--443},
     publisher = {mathdoc},
     volume = {197},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a6/}
}
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N. A. Slavnov. Determinant representations for scalar products in the~algebraic Bethe ansatz. Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 3, pp. 435-443. http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a6/