This article is cited in 4 papers

Overlap between usual and modified Bethe vectors

S. Belliard^a, N. A. Slavnov<sup>b

a</sup> Institut Denis-Poisson, Université de Tours, Université d’Orléans, Tours, France
^b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

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.

Keywords: modified algebraic Bethe ansatz, scalar product, twisted boundary condition.

Received: 13.06.2021
Revised: 13.06.2021

DOI: 10.4213/tmf10136

 English version: Theoretical and Mathematical Physics, 2021, 209:1, 1387–1402

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ArXiv: 2106.00244