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Journal of Statistical Mechanics: Theory and Experiment
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Journal of Statistical Mechanics: Theory and Experiment, 2015, Volume 2015, Number 3, 3019, 25 pp.
DOI: https://doi.org/10.1088/1742-5468/2015/03/P03019
(Mi jsm1)
 

This article is cited in 18 scientific papers (total in 18 papers)

Scalar products in $GL(3)$-based models with trigonometric $R$-matrix. Determinant representation

N. A. Slavnov

Steklov Mathematical Institute, Gubkina, 8, Moscow 119991, Russia
Citations (18)
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the RSF under grant 14-50-00005.
Received: 05.02.2015
Accepted: 25.02.2015
Bibliographic databases:
Document Type: Article
Language: English
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    This publication is cited in the following 18 articles:
    1. M. Alp, Chin Hee Pah, M. K. Saburov, “The description of generalized translation-invariant $p$-adic Gibbs measures for the Potts model on the Cayley tree of order three”, Theoret. and Math. Phys., 214:3 (2023), 406–420  mathnet  crossref  crossref  mathscinet  adsnasa
    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. N. A. Slavnov, “Generating function for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 204:3 (2020), 1216–1226  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. N. A. Slavnov, “Introduction to the nested algebraic Bethe ansatz”, SciPost Phys. Lect. Notes, 19 (2020), 1–53  mathnet  crossref
    5. S. Belliard, N. A. Slavnov, “Why scalar products in the algebraic Bethe ansatz have determinant representation”, JHEP, 2019:10 (2019), 103–17  mathnet  crossref  isi  scopus
    6. N. A. Slavnov, “Determinant representations for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 197:3 (2018), 1771–1778  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    7. 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
    8. 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
    9. Nikolay Gromov, Fedor Levkovich-Maslyuk, “New compact construction of eigenstates for supersymmetric spin chains”, J. High Energ. Phys., 2018:9 (2018)  crossref
    10. Stanislav Pakuliak, Eric Ragoucy, Nikita Slavnov, “Nested Algebraic Bethe Ansatz in integrable models: recent results”, SciPost Phys. Lect. Notes, 2018  crossref
    11. 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
    12. 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
    13. 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
    14. Pieter W. Claeys, Dimitri Van Neck, Stijn De Baerdemacker, “Inner products in integrable Richardson-Gaudin models”, SciPost Phys., 3:4 (2017)  crossref
    15. A. A. Hutsalyuk, A. N. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry 2. Determinant representation”, J. Phys. A, 50:3 (2017), 34004–22  mathnet  crossref  isi  scopus
    16. K. K. Kozlowski, E. Ragoucy, “Asymptotic behaviour of two-point functions in multi-species models”, Nuclear Phys. B, 906 (2016), 241–288  crossref  mathscinet  zmath  isi  scopus
    17. A. Hustalyuk, A. Liashyk, S. Pakulyak, E. Ragoucy, N. Slavnov, “Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry. 1. Super-analog of Reshetikhin formula”, J. Phys. A, 49:45 (2016), 454005–28  mathnet  crossref  isi  scopus
    18. A. Hustalyuk, A. Liashyk, S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models”, Nuclear Phys. B, 911 (2016), 902–927  mathnet  crossref  isi  scopus
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