The work of SP was supported in part by RFBR grant 11-01-00962-a, grant of the Scientific Foundation of NRU HSE 12-09-0064 and grant of FASI RF 14.740.11.0347. ER was supported by ANR Project DIADEMS (Programme Blanc ANR SIMI1 2010-BLAN-0120-02). NAS was supported by the Program of RAS Basic Problems of Nonlinear Dynamics, RFBR-11-01-00440, RFBR-11-01-12037-ofi-m, SS-4612.2012.1.
Поступила в редакцию: 06.11.2012 Принята в печать: 03.01.2013
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Тип публикации:
Статья
Язык публикации: английский
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https://www.mathnet.ru/rus/jsm3
Эта публикация цитируется в следующих 25 статьяx:
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Г. В. Кулкарни, Н. А. Славнов, “Действие элементов матрицы монодромии в обобщенном алгебраическом анзаце Бете”, ТМФ, 217:3 (2023), 555–576; G. Kulkarni, N. A. Slavnov, “Action of the monodromy matrix elements in the generalized algebraic Bethe ansatz”, Theoret. and Math. Phys., 217:3 (2023), 1889–1906
Giuliano Niccoli, Hao Pei, Véronique Terras, “Correlation functions by separation of variables: the XXX spin chain”, SciPost Phys., 10:1 (2021)
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
Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli, “On scalar products in higher rank quantum separation of variables”, SciPost Phys., 9:6 (2020)
N. A. Slavnov, “Introduction to the nested algebraic Bethe ansatz”, SciPost Phys. Lect. Notes, 19 (2020), 1–53
Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli, “Separation of variables bases for integrable glM|NglM|N and Hubbard models”, SciPost Phys., 9:4 (2020)
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)
S. Belliard, N. A. Slavnov, “Why scalar products in the algebraic Bethe ansatz have determinant representation”, JHEP, 2019:10 (2019), 103–17
Stanislav Pakuliak, Eric Ragoucy, Nikita Slavnov, “Nested Algebraic Bethe Ansatz in integrable models: recent results”, SciPost Phys. Lect. Notes, 2018
Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Scalar products and norm of Bethe vectors for integrable models based on Uq(^gln)”, SciPost Phys., 4 (2018), 6–30
S. Belliard, N. A. Slavnov, “A note on gl2-invariant Bethe vectors”, JHEP, 2018 (2018), 31–14
A. Liashyk, N. A. Slavnov, “On Bethe vectors in gl3-invariant integrable models”, JHEP, 2018 (2018), 18–31
Nikolay Gromov, Fedor Levkovich-Maslyuk, “New compact construction of eigenstates for supersymmetric spin chains”, J. High Energ. Phys., 2018:9 (2018)
Eric Ragoucy, “Bethe vectors and form factors for two-component bose gas”, Phys. Part. Nuclei Lett., 14:2 (2017), 336
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)
Н. А. Славнов, “Мультикоммутационные соотношения в моделях с gl(2|1)-симметрией”, ТМФ, 189:2 (2016), 256–278; N. A. Slavnov, “Multiple commutation relations in the models with gl(2|1) symmetry”, Theoret. and Math. Phys., 189:2 (2016), 1624–1644
Н. А. Славнов, “Одномерный двухкомпонентный бозе-газ и алгебраический анзац Бете”, ТМФ, 183:3 (2015), 409–433; N. A. Slavnov, “One-dimensional two-component Bose gas and the algebraic Bethe ansatz”, Theoret. and Math. Phys., 183:3 (2015), 800–821
S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Zero modes method and form factors in quantum integrable models”, Nuclear Phys. B, 893 (2015), 459–481
S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Form factors in quantum integrable models with GL(3)-invariant R-matrix”, Nuclear Phys. B, 881 (2014), 343–368