Scalar products in models with the~$GL(3)$ trigonometric $R$-matrix: General case
Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 1, pp. 51-71
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We study quantum integrable models with the $GL(3)$ trigonometric $R$-matrix solvable by the nested algebraic Bethe ansatz and obtain an explicit representation for a scalar product of generic Bethe vectors in terms of a sum over partitions of Bethe parameters. This representation generalizes the known formula for scalar products in models with the $GL(3)$-invariant $R$-matrix.
Keywords:
nested Bethe ansatz, Bethe vector, scalar products.
@article{TMF_2014_180_1_a4,
author = {S. Z. Pakulyak and E. Ragoucy and N. A. Slavnov},
title = {Scalar products in models with the~$GL(3)$ trigonometric $R$-matrix: {General} case},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {51--71},
publisher = {mathdoc},
volume = {180},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2014_180_1_a4/}
}
TY - JOUR AU - S. Z. Pakulyak AU - E. Ragoucy AU - N. A. Slavnov TI - Scalar products in models with the~$GL(3)$ trigonometric $R$-matrix: General case JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2014 SP - 51 EP - 71 VL - 180 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2014_180_1_a4/ LA - ru ID - TMF_2014_180_1_a4 ER -
%0 Journal Article %A S. Z. Pakulyak %A E. Ragoucy %A N. A. Slavnov %T Scalar products in models with the~$GL(3)$ trigonometric $R$-matrix: General case %J Teoretičeskaâ i matematičeskaâ fizika %D 2014 %P 51-71 %V 180 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2014_180_1_a4/ %G ru %F TMF_2014_180_1_a4
S. Z. Pakulyak; E. Ragoucy; N. A. Slavnov. Scalar products in models with the~$GL(3)$ trigonometric $R$-matrix: General case. Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 1, pp. 51-71. http://geodesic.mathdoc.fr/item/TMF_2014_180_1_a4/