Geodesic
Overlap between usual and modified Bethe vectors
Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 1, pp. 82-100

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We consider the overlap of Bethe vectors of the $XXX$ spin chain with a diagonal twist and the modified Bethe vectors with a general twist. We find a determinant representation for this overlap under one additional condition on the twist parameters. Such objects arise in the calculations of nonequilibrium physics.
Keywords: modified algebraic Bethe ansatz, twisted boundary condition.
Mots-clés : scalar product 
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     author = {S. Belliard and N. A. Slavnov},
     title = {Overlap between usual and modified {Bethe} vectors},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {209},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_209_1_a4/}
}
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S. Belliard; N. A. Slavnov. Overlap between usual and modified Bethe vectors. Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 1, pp. 82-100. http://geodesic.mathdoc.fr/item/TMF_2021_209_1_a4/