Scalar Products in Twisted XXX Spin Chain. Determinant Representation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Belliard, S., Slavnov, N.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210229
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Scalar Products in Twisted XXX Spin Chain. Determinant Representation / S. Belliard, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 33 назв. — англ.

We consider the XXX spin-1/2 Heisenberg chain with non-diagonal boundary conditions. We obtain a compact determinant representation for the scalar product of on-shell and off-shell Bethe vectors. In the particular case when both Bethe vectors are on shell, we obtain a determinant representation for...