Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Hutsalyuk, A., Liashyk, A., Pakuliak, S.Z., Ragoucy, E., Slavnov, N.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147864
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models / A. Hutsalyuk. A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 54 назв. — англ.

We study gl(2|1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors...