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.
Поступила в редакцию: 24.06.2016 Принята в печать: 07.11.2016
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Статья
Язык публикации: английский
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https://www.mathnet.ru/rus/jpha8
Эта публикация цитируется в следующих 17 статьяx:
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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)
Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli, “On scalar products in higher rank quantum separation of variables”, SciPost Phys., 9:6 (2020)
Juan Miguel Nieto Garcia, Alessandro Torrielli, “Norms and scalar products for AdS 3”, J. Phys. A: Math. Theor., 53:14 (2020), 145401
Н. А. Славнов, “Производящая функция для скалярных произведений в алгебраическом анзаце Бете”, ТМФ, 204:3 (2020), 453–465; N. A. Slavnov, “Generating function for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 204:3 (2020), 1216–1226
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
Nikolay Gromov, Fedor Levkovich-Maslyuk, “New compact construction of eigenstates for supersymmetric spin chains”, J. High Energ. Phys., 2018:9 (2018)
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
A. Liashyk, N. A. Slavnov, “On Bethe vectors in $\mathfrak{gl}_3$-invariant integrable models”, JHEP, 2018 (2018), 18–31
Stanislav Pakuliak, Eric Ragoucy, Nikita Slavnov, “Nested Algebraic Bethe Ansatz in integrable models: recent results”, SciPost Phys. Lect. Notes, 2018
Н. А. Славнов, “Детерминантные представления для скалярных произведений в алгебраическом анзаце Бете”, ТМФ, 197:3 (2018), 435–443; N. A. Slavnov, “Determinant representations for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 197:3 (2018), 1771–1778
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
А. А. Гуцалюк, А. Н. Ляшик, С. З. Пакуляк, Э. Рагуси, Н. А. Славнов, “Токовое представление для дубля супер-янгиана $DY(\mathfrak{gl}(m|n))$ и векторы Бете”, УМН, 72:1 (2017), 37–106; 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
J. Fuksa, N. A. Slavnov, “Form factors of local operators in supersymmetric quantum integrable models”, J. Stat. Mech., 2017, 43106–21
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)
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