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Journal of Physics A: Mathematical and Theoretical, 2017, Volume 50, Issue 3, 34004, 22 pp.
DOI: https://doi.org/10.1088/1751-8121/50/3/034004
(Mi jpha8)
 

This article is cited in 17 scientific papers (total in 17 papers)

Scalar products of Bethe vectors in models with gl(2|1) symmetry 2. Determinant representation

A. A. Hutsalyuka, A. N. Liashykbc, S. Z. Pakuliakad, E. Ragoucye, N. A. Slavnovf

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
c National Research University "Higher School of Economics" (HSE), Moscow
d Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
e Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH)
f Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Citations (17)
Funding agency Grant number
Centre National de la Recherche Scientifique
Ministry of Education and Science of the Russian Federation 5-100
National Academy of Sciences of Ukraine F14-2016
Russian Foundation for Basic Research 16-01-00562-a
15-31-20484-mol-a-ved
14-01-00860-a
NAS thanks LAPTH in Annecy-le-Vieux for the hospitality and stimulating scientific atmosphere, and CNRS for partial financial support. The work of AL has been funded by the Russian Academic Excellence Project 5-100 and by joint NASU-CNRS project F14-2016. The work of SP was supported in part by the RFBR grant 16-01-00562-a. NAS was supported by the grants RFBR-15-31-20484-mol-a-ved and RFBR-14-01-00860-a.
Received: 24.06.2016
Accepted: 07.11.2016
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/jpha8
  • This publication is cited in the following 17 articles:
    1. A. Hutsalyuk, B. Pozsgay, L. Pristyák, “The LeClair-Mussardo series and nested Bethe Ansatz”, Nuclear Physics B, 964 (2021), 115306  crossref
    2. 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
    3. Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli, “Separation of variables bases for integrable $gl_{\mathcal{M}|\mathcal{N}}$ and Hubbard models”, SciPost Phys., 9:4 (2020)  crossref
    4. Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli, “On scalar products in higher rank quantum separation of variables”, SciPost Phys., 9:6 (2020)  crossref
    5. Juan Miguel Nieto Garcia, Alessandro Torrielli, “Norms and scalar products for AdS 3”, J. Phys. A: Math. Theor., 53:14 (2020), 145401  crossref
    6. N. A. Slavnov, “Generating function for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 204:3 (2020), 1216–1226  mathnet  mathnet  crossref  crossref  isi  scopus
    7. A. Hutsalyuk, A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov, “Norm of Bethe vectors in models with $\mathfrak{gl}(m|n)$ symmetry”, Nuclear Phys. B, 926 (2018), 256–278  mathnet  crossref  isi  scopus
    8. Nikolay Gromov, Fedor Levkovich-Maslyuk, “New compact construction of eigenstates for supersymmetric spin chains”, J. High Energ. Phys., 2018:9 (2018)  crossref
    9. Nikolai Kitanine, Rafael I Nepomechie, Nicolai Reshetikhin, “Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish”, J. Phys. A: Math. Theor., 51:11 (2018), 110201  crossref
    10. A. Liashyk, N. A. Slavnov, “On Bethe vectors in $\mathfrak{gl}_3$-invariant integrable models”, JHEP, 2018 (2018), 18–31  mathnet  crossref  isi  scopus
    11. Stanislav Pakuliak, Eric Ragoucy, Nikita Slavnov, “Nested Algebraic Bethe Ansatz in integrable models: recent results”, SciPost Phys. Lect. Notes, 2018  crossref
    12. N. A. Slavnov, “Determinant representations for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 197:3 (2018), 1771–1778  mathnet  mathnet  crossref  crossref  isi  scopus
    13. Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Scalar products and norm of Bethe vectors for integrable models based on $U_q(\widehat{\mathfrak{gl}}_n)$”, SciPost Phys., 4 (2018), 6–30  mathnet  crossref  isi
    14. A. A. Hutsalyuk, A. Liashyk, S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Current presentation for the super-Yangian double $DY(\mathfrak{gl}(m|n))$ and Bethe vectors”, Russian Math. Surveys, 72:1 (2017), 33–99  mathnet  mathnet  crossref  crossref  isi  scopus
    15. J. Fuksa, N. A. Slavnov, “Form factors of local operators in supersymmetric quantum integrable models”, J. Stat. Mech., 2017, 43106–21  mathnet  crossref  isi  scopus
    16. Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Sizov, “New construction of eigenstates and separation of variables for SU(N) quantum spin chains”, J. High Energ. Phys., 2017:9 (2017)  crossref
    17. A. Hutsalyuk, A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov, “Scalar products of Bethe vectors in the models with $\mathfrak{gl}(m|n)$ symmetry”, Nuclear Phys. B, 923 (2017), 277–311  mathnet  crossref  isi  scopus
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