Abstract:
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.
The work was performed at the Steklov
Mathematical Institute of the Russian Academy of Sciences,
Moscow. This work is supported by the Russian Science Foundation
under grant 19-11-00062.
Citation:
S. Belliard, N. A. Slavnov, “Overlap between usual and modified Bethe vectors”, TMF, 209:1 (2021), 82–100; Theoret. and Math. Phys., 209:1 (2021), 1387–1402
This publication is cited in the following 3 articles:
Samuel Belliard, Rodrigo Alves Pimenta, Nikita A. Slavnov, “Modified rational six vertex model on the rectangular lattice”, SciPost Phys., 16:1 (2024), 9–20
Kohei Motegi, “Factorization of rational six vertex model partition functions”, Nuclear Physics B, 1009 (2024), 116743
N. Gromov, N. Primi, P. Ryan, “Form-factors and complete basis of observables via separation of variables for higher rank spin chains”, J. High Energ. Phys., 2022:11 (2022)