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On Bethe vectors in \( \mathfrak{g}{\mathfrak{l}}_3 \)-invariant integrable models

  • A. Liashyk
  • N. A. Slavnov
Open Access
Regular Article - Theoretical Physics

Abstract

We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing \( \mathfrak{g}{\mathfrak{l}}_3 \)-invariant R-matrix. We study a new recently proposed approach to construct on-shell Bethe vectors of these models. We prove that the vectors constructed by this method are semi-on-shell Bethe vectors for arbitrary values of Bethe parameters. They thus do become on-shell vectors provided the system of Bethe equations is fulfilled.

Keywords

Integrable Field Theories Lattice Integrable Models 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Department for Theory of Nuclei and Quantum Field TheoryBogoliubov Institute for Theoretical Physics, NAS of UkraineKievUkraine
  2. 2.Faculty of MathematicsNational Research University Higher School of EconomicsMoscowRussia
  3. 3.Center for Advanced StudiesSkolkovo Institute of Science and TechnologyMoscowRussia
  4. 4.Theoretical Physics DepartmentSteklov Mathematical Institute of Russian Academy of SciencesMoscowRussia

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