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Journal of High Energy Physics, 2018, Volume 2018, 018, 31 pp.
DOI: https://doi.org/10.1007/JHEP06(2018)018
(Mi jhep22)
 

This article is cited in 19 scientific papers (total in 19 papers)

On Bethe vectors in gl3-invariant integrable models

A. Liashykabc, N. A. Slavnovd

a Department for Theory of Nuclei and Quantum Field Theory, Bogoliubov Institute for Theoretical Physics, NAS of Ukraine, 14b Metrolohichna str., Kiev, 03143, Ukraine
b Faculty of Mathematics, National Research University Higher School of Economics, 6 Usacheva str., Moscow, 119048, Russia
c Center for Advanced Studies, Skolkovo Institute of Science and Technology, 3 Nobel str., Moscow, 121205, Russia
d Theoretical Physics Department, Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina str., Moscow, 119991, Russia
Citations (19)
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 5-100
Contest «Young Russian Mathematics»
Russian Science Foundation 14-50-00005
The work of A.L. has been funded by Russian Academic Excellence Project 5-100 and by Young Russian Mathematics award. A part of this work, section 6, was performed in Steklov Mathematical Institute of Russian Academy of Sciences by N.A.S. and he was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 10.04.2018
Accepted: 30.05.2018
Bibliographic databases:
Document Type: Article
Language: English
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    This publication is cited in the following 19 articles:
    1. Samuel Belliard, Rodrigo Alves Pimenta, Nikita A. Slavnov, “Modified rational six vertex model on the rectangular lattice”, SciPost Phys., 16:1 (2024), 9–20  mathnet  crossref
    2. Dmitry Chernyak, Sébastien Leurent, Dmytro Volin, “Completeness of Wronskian Bethe Equations for Rational glm|n Spin Chains”, Commun. Math. Phys., 391:3 (2022), 969  crossref
    3. Jean Michel Maillet, Giuliano Niccoli, “On quantum separation of variables beyond fundamental representations”, SciPost Phys., 10:2 (2021)  crossref
    4. Andrea Cavaglià, Nikolay Gromov, Fedor Levkovich-Maslyuk, “Separation of variables in AdS/CFT: functional approach for the fishnet CFT”, J. High Energ. Phys., 2021:6 (2021)  crossref
    5. Paul Ryan, Dmytro Volin, “Separation of Variables for Rational gl(n) Spin Chains in Any Compact Representation, via Fusion, Embedding Morphism and Bäcklund Flow”, Commun. Math. Phys., 383:1 (2021), 311  crossref
    6. Nikolay Gromov, Fedor Levkovich-Maslyuk, Paul Ryan, “Determinant form of correlators in high rank integrable spin chains via separation of variables”, J. High Energ. Phys., 2021:5 (2021)  crossref
    7. Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli, “Separation of variables bases for integrable glM|N and Hubbard models”, SciPost Phys., 9:4 (2020)  crossref
    8. Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli, “On scalar products in higher rank quantum separation of variables”, SciPost Phys., 9:6 (2020)  crossref
    9. N. A. Slavnov, “Introduction to the nested algebraic Bethe ansatz”, SciPost Phys. Lect. Notes, 19 (2020), 1–53  mathnet  crossref
    10. Jean Michel Maillet, Giuliano Niccoli, “Complete spectrum of quantum integrable lattice models associated to Y(gl(n)) by separation of variables”, SciPost Phys., 6:6 (2019)  crossref
    11. J M Maillet, G Niccoli, “On separation of variables for reflection algebras”, J. Stat. Mech., 2019:9 (2019), 094020  crossref
    12. J M Maillet, G Niccoli, “Complete spectrum of quantum integrable lattice models associated to Uq(^gln) by separation of variables”, J. Phys. A: Math. Theor., 52:31 (2019), 315203  crossref
    13. Andrea Cavaglià, Nikolay Gromov, Fedor Levkovich-Maslyuk, “Separation of variables and scalar products at any rank”, J. High Energ. Phys., 2019:9 (2019)  crossref
    14. A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “New symmetries of gl(N)-invariant Bethe vectors”, J. Stat. Mech., 2019 (2019), 44001–24  mathnet  crossref  isi  scopus
    15. Paul Ryan, Dmytro Volin, “Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame”, Journal of Mathematical Physics, 60:3 (2019)  crossref
    16. Nikolay Gromov, Fedor Levkovich-Maslyuk, “New compact construction of eigenstates for supersymmetric spin chains”, J. High Energ. Phys., 2018:9 (2018)  crossref
    17. S. E. Derkachov, P. A. Valinevich, “Separation of variables for the quantum SL(3,C) spin magnet: eigenfunctions of Sklyanin B-operator”, J. Math. Sci. (N. Y.), 242:5 (2019), 658–682  mathnet  mathnet  crossref  scopus
    18. J. M. Maillet, G. Niccoli, “On quantum separation of variables”, Journal of Mathematical Physics, 59:9 (2018)  crossref
    19. S. Belliard, N. A. Slavnov, B. Vallet, “Scalar product of twisted XXX modified Bethe vectors”, J. Stat. Mech., 2018:9 (2018), 93103–28  mathnet  crossref  isi  scopus
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