Kulkarni, G.; Slavnov, N. A. Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz. (English. Russian original) Zbl 07805990 Theor. Math. Phys. 217, No. 1, 1574-1594 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 179-203 (2023). MSC: 82B23 PDFBibTeX XMLCite \textit{G. Kulkarni} and \textit{N. A. Slavnov}, Theor. Math. Phys. 217, No. 1, 1574--1594 (2023; Zbl 07805990); translation from Teor. Mat. Fiz. 217, No. 1, 179--203 (2023) Full Text: DOI arXiv
Belliard, Samuel; Pimenta, Rodrigo A.; Slavnov, Nikita A. Scalar product for the XXZ spin chain with general integrable boundaries. (English) Zbl 1519.82022 J. Phys. A, Math. Theor. 54, No. 34, Article ID 344001, 15 p. (2021). MSC: 82B23 82B20 81R12 PDFBibTeX XMLCite \textit{S. Belliard} et al., J. Phys. A, Math. Theor. 54, No. 34, Article ID 344001, 15 p. (2021; Zbl 1519.82022) Full Text: DOI arXiv
Belliard, S.; Slavnov, N. A. Overlap between usual and modified Bethe vectors. (English. Russian original) Zbl 1482.82046 Theor. Math. Phys. 209, No. 1, 1387-1402 (2021); translation from Teor. Mat. Fiz. 209, No. 1, 82-100 (2021). MSC: 82C23 37C15 81R12 PDFBibTeX XMLCite \textit{S. Belliard} and \textit{N. A. Slavnov}, Theor. Math. Phys. 209, No. 1, 1387--1402 (2021; Zbl 1482.82046); translation from Teor. Mat. Fiz. 209, No. 1, 82--100 (2021) Full Text: DOI arXiv
Slavnov, N. A. Introduction to the algebraic Bethe ansatz. (English) Zbl 1483.82003 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 363-371 (2020). Reviewer: Takeo Kojima (Yonezawa) MSC: 82B23 81R50 37K10 15A18 81U40 PDFBibTeX XMLCite \textit{N. A. Slavnov}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 363--371 (2020; Zbl 1483.82003) Full Text: DOI
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Actions of the monodromy matrix elements onto \(\mathfrak{g}\mathfrak{l}\left(m\vert n\right)\)-invariant Bethe vectors. (English) Zbl 1459.82069 J. Stat. Mech. Theory Exp. 2020, No. 9, Article ID 093104, 31 p. (2020). MSC: 82B23 17B37 81R12 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., J. Stat. Mech. Theory Exp. 2020, No. 9, Article ID 093104, 31 p. (2020; Zbl 1459.82069) Full Text: DOI arXiv
Slavnov, N. A. Generating function for scalar products in the algebraic Bethe ansatz. (English. Russian original) Zbl 1454.82011 Theor. Math. Phys. 204, No. 3, 1216-1226 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 453-465 (2020). MSC: 82B23 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 204, No. 3, 1216--1226 (2020; Zbl 1454.82011); translation from Teor. Mat. Fiz. 204, No. 3, 453--465 (2020) Full Text: DOI
Slavnov, N.; Zabrodin, A.; Zotov, A. Scalar products of Bethe vectors in the 8-vertex model. (English) Zbl 1437.81037 J. High Energy Phys. 2020, No. 6, Paper No. 123, 55 p. (2020). MSC: 81R12 81T25 PDFBibTeX XMLCite \textit{N. Slavnov} et al., J. High Energy Phys. 2020, No. 6, Paper No. 123, 55 p. (2020; Zbl 1437.81037) Full Text: DOI arXiv
Liashyk, A. N.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Bethe vectors for orthogonal integrable models. (English. Russian original) Zbl 1441.81106 Theor. Math. Phys. 201, No. 2, 1545-1564 (2019); translation from Teor. Mat. Fiz. 201, No. 2, 153-174 (2019). MSC: 81Q80 81Q40 16T25 82B23 82C23 17B20 17B45 14D05 PDFBibTeX XMLCite \textit{A. N. Liashyk} et al., Theor. Math. Phys. 201, No. 2, 1545--1564 (2019; Zbl 1441.81106); translation from Teor. Mat. Fiz. 201, No. 2, 153--174 (2019) Full Text: DOI arXiv
Belliard, S.; Slavnov, N. A. Why scalar products in the algebraic Bethe ansatz have determinant representation. (English) Zbl 1427.81053 J. High Energy Phys. 2019, No. 10, Paper No. 103, 17 p. (2019). MSC: 81R12 81T25 81R40 PDFBibTeX XMLCite \textit{S. Belliard} and \textit{N. A. Slavnov}, J. High Energy Phys. 2019, No. 10, Paper No. 103, 17 p. (2019; Zbl 1427.81053) Full Text: DOI arXiv
Belliard, Samuel; Slavnov, Nikita A. Scalar products in twisted XXX spin chain. Determinant representation. (English) Zbl 1428.82020 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 066, 30 p. (2019). MSC: 82B23 81R50 PDFBibTeX XMLCite \textit{S. Belliard} and \textit{N. A. Slavnov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 066, 30 p. (2019; Zbl 1428.82020) Full Text: DOI arXiv
Belliard, S.; Slavnov, N. A.; Vallet, B. Scalar product of twisted XXX modified Bethe vectors. (English) Zbl 1457.82014 J. Stat. Mech. Theory Exp. 2018, No. 9, Article ID 093103, 29 p. (2018). MSC: 82B10 82B23 PDFBibTeX XMLCite \textit{S. Belliard} et al., J. Stat. Mech. Theory Exp. 2018, No. 9, Article ID 093103, 29 p. (2018; Zbl 1457.82014) Full Text: DOI arXiv
Slavnov, N. A. Determinant representations for scalar products in the algebraic Bethe ansatz. (English. Russian original) Zbl 1428.82021 Theor. Math. Phys. 197, No. 3, 1771-1778 (2018); translation from Teor. Mat. Fiz. 197, No. 3, 435-443 (2018). MSC: 82B23 81Q40 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 197, No. 3, 1771--1778 (2018; Zbl 1428.82021); translation from Teor. Mat. Fiz. 197, No. 3, 435--443 (2018) Full Text: DOI
Liashyk, A.; Slavnov, N. A. On Bethe vectors in \( \mathfrak{g}{\mathfrak{l}}_3 \)-invariant integrable models. (English) Zbl 1395.81179 J. High Energy Phys. 2018, No. 6, Paper No. 18, 32 p. (2018). MSC: 81T25 81R12 PDFBibTeX XMLCite \textit{A. Liashyk} and \textit{N. A. Slavnov}, J. High Energy Phys. 2018, No. 6, Paper No. 18, 32 p. (2018; Zbl 1395.81179) Full Text: DOI arXiv
Belliard, S.; Slavnov, N. A. A note on \(\mathfrak{g}{\mathfrak{l}}_2 \)-invariant Bethe vectors. (English) Zbl 1390.81253 J. High Energy Phys. 2018, No. 4, Paper No. 31, 15 p. (2018). MSC: 81R50 81R12 PDFBibTeX XMLCite \textit{S. Belliard} and \textit{N. A. Slavnov}, J. High Energy Phys. 2018, No. 4, Paper No. 31, 15 p. (2018; Zbl 1390.81253) Full Text: DOI arXiv
Belliard, Samuel; Slavnov, Nikita A.; Vallet, Benoit Modified algebraic Bethe ansatz: twisted XXX case. (English) Zbl 1392.82020 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 054, 18 p. (2018). MSC: 82B28 81R12 82B20 16T25 PDFBibTeX XMLCite \textit{S. Belliard} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 054, 18 p. (2018; Zbl 1392.82020) Full Text: DOI arXiv
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Norm of Bethe vectors in models with \(\mathfrak{gl}(m | n)\) symmetry. (English) Zbl 1380.81152 Nucl. Phys., B 926, 256-278 (2018). MSC: 81R12 81Q40 81Q05 35J10 35P05 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., Nucl. Phys., B 926, 256--278 (2018; Zbl 1380.81152) Full Text: DOI arXiv
Fuksa, J.; Slavnov, N. A. Form factors of local operators in supersymmetric quantum integrable models. (English) Zbl 1456.81432 J. Stat. Mech. Theory Exp. 2017, No. 4, Article ID 043106, 21 p. (2017). MSC: 81T60 PDFBibTeX XMLCite \textit{J. Fuksa} and \textit{N. A. Slavnov}, J. Stat. Mech. Theory Exp. 2017, No. 4, Article ID 043106, 21 p. (2017; Zbl 1456.81432) Full Text: DOI arXiv
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Scalar products of Bethe vectors in the models with \(\mathfrak{gl}(m | n)\) symmetry. (English) Zbl 1373.82031 Nucl. Phys., B 923, 277-311 (2017). MSC: 82B23 81T10 82B10 17A70 16T05 17B37 81R50 17B80 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., Nucl. Phys., B 923, 277--311 (2017; Zbl 1373.82031) Full Text: DOI arXiv
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Scalar products of Bethe vectors in models with \(\mathfrak{gl}(2|1)\) symmetry. II: Determinant representation. (English) Zbl 1357.82018 J. Phys. A, Math. Theor. 50, No. 3, Article ID 034004, 22 p. (2017). MSC: 82B23 81R05 81R12 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., J. Phys. A, Math. Theor. 50, No. 3, Article ID 034004, 22 p. (2017; Zbl 1357.82018) Full Text: DOI arXiv
Slavnov, N. A. Multiple commutation relations in the models with \(\mathfrak{gl}(2|1)\) symmetry. (English. Russian original) Zbl 1361.81050 Theor. Math. Phys. 189, No. 2, 1624-1644 (2016); translation from Teor. Mat. Fiz. 189, No. 2, 256-278 (2016). MSC: 81Q10 82B23 16T25 14D05 81R12 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 189, No. 2, 1624--1644 (2016; Zbl 1361.81050); translation from Teor. Mat. Fiz. 189, No. 2, 256--278 (2016) Full Text: DOI arXiv
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Form factors of the monodromy matrix entries in \(\mathfrak{gl}(2 | 1)\)-invariant integrable models. (English) Zbl 1346.81121 Nucl. Phys., B 911, 902-927 (2016). MSC: 81T60 81Q80 14D05 81Q40 17A70 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., Nucl. Phys., B 911, 902--927 (2016; Zbl 1346.81121) Full Text: DOI arXiv
Slavnov, N. A. Scalar products in GL(3)-based models with trigonometric \(R\)-matrix. Determinant representation. (English) Zbl 1456.81273 J. Stat. Mech. Theory Exp. 2015, No. 3, Paper No. P03019, 25 p. (2015). MSC: 81S10 82B23 PDFBibTeX XMLCite \textit{N. A. Slavnov}, J. Stat. Mech. Theory Exp. 2015, No. 3, Paper No. P03019, 25 p. (2015; Zbl 1456.81273) Full Text: DOI arXiv
Pakuliak, S.; Ragoucy, E.; Slavnov, N. A. Zero modes method and form factors in quantum integrable models. (English) Zbl 1348.81266 Nucl. Phys., B 893, 459-481 (2015). MSC: 81R12 81R05 81V70 16T25 14D05 81U40 82B23 PDFBibTeX XMLCite \textit{S. Pakuliak} et al., Nucl. Phys., B 893, 459--481 (2015; Zbl 1348.81266) Full Text: DOI arXiv
Slavnov, N. A. One-dimensional two-component Bose gas and the algebraic Bethe ansatz. (English. Russian original) Zbl 1327.82025 Theor. Math. Phys. 183, No. 3, 800-821 (2015); translation from Teor. Mat. Fiz. 183, No. 3, 409-433 (2015). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 183, No. 3, 800--821 (2015; Zbl 1327.82025); translation from Teor. Mat. Fiz. 183, No. 3, 409--433 (2015) Full Text: DOI arXiv
Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Determinant representations for form factors in quantum integrable models with the \(\mathrm{GL}(3)\)-invariant \( R\)-matrix. (English. Russian original) Zbl 1317.81145 Theor. Math. Phys. 181, No. 3, 1566-1584 (2014); translation from Teor. Mat. Fiz. 181, No. 3, 515-537 (2014). MSC: 81Q80 81V70 81R12 82B23 PDFBibTeX XMLCite \textit{S. Z. Pakuliak} et al., Theor. Math. Phys. 181, No. 3, 1566--1584 (2014; Zbl 1317.81145); translation from Teor. Mat. Fiz. 181, No. 3, 515--537 (2014) Full Text: DOI arXiv
Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Scalar products in models with the \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix: general case. (English. Russian original) Zbl 1329.81182 Theor. Math. Phys. 180, No. 1, 795-814 (2014); translation from Teor. Mat. Fiz. 180, No. 1, 51-71 (2014). MSC: 81Q10 81V70 81Q40 PDFBibTeX XMLCite \textit{S. Z. Pakuliak} et al., Theor. Math. Phys. 180, No. 1, 795--814 (2014; Zbl 1329.81182); translation from Teor. Mat. Fiz. 180, No. 1, 51--71 (2014) Full Text: DOI arXiv
Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Scalar products in models with a \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix: highest coefficient. (English. Russian original) Zbl 1298.81109 Theor. Math. Phys. 178, No. 3, 314-335 (2014); translation from Teor. Mat. Fiz. 178, No. 3, 363-389 (2014). MSC: 81R12 81Q40 81V70 81Q10 PDFBibTeX XMLCite \textit{S. Z. Pakuliak} et al., Theor. Math. Phys. 178, No. 3, 314--335 (2014; Zbl 1298.81109); translation from Teor. Mat. Fiz. 178, No. 3, 363--389 (2014) Full Text: DOI arXiv
Pakuliak, S.; Ragoucy, E.; Slavnov, N. A. Form factors in quantum integrable models with \(GL(3)\)-invariant \(R\)-matrix. (English) Zbl 1284.82023 Nucl. Phys., B 881, 343-368 (2014). MSC: 82B20 82B23 81Q80 32S40 PDFBibTeX XMLCite \textit{S. Pakuliak} et al., Nucl. Phys., B 881, 343--368 (2014; Zbl 1284.82023) Full Text: DOI arXiv
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A. Form factors in \(\mathrm{SU}(3)\)-invariant integrable models. (English) Zbl 1456.82703 J. Stat. Mech. Theory Exp. 2013, No. 4, Paper No. P04033, 16 p. (2013). MSC: 82C23 PDFBibTeX XMLCite \textit{S. Belliard} et al., J. Stat. Mech. Theory Exp. 2013, No. 4, Paper No. P04033, 16 p. (2013; Zbl 1456.82703) Full Text: DOI arXiv
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A. Bethe vectors of \(\mathrm{GL}(3)\)-invariant integrable models. (English) Zbl 1445.81030 J. Stat. Mech. Theory Exp. 2013, No. 2, Paper No. P02020, 24 p. (2013). MSC: 81R12 82B23 PDFBibTeX XMLCite \textit{S. Belliard} et al., J. Stat. Mech. Theory Exp. 2013, No. 2, Paper No. P02020, 24 p. (2013; Zbl 1445.81030) Full Text: DOI arXiv
Slavnov, N. A. Form factor approach to the calculation of correlation functions of integrable models. (English) Zbl 1305.81088 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 209-220 (2013). MSC: 81Q80 82C22 PDFBibTeX XMLCite \textit{N. A. Slavnov}, in: Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24--30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer. 209--220 (2013; Zbl 1305.81088) Full Text: DOI
Slavnov, N. A. Asymptotic expansions for correlation functions of one-dimensional bosons. (English. Russian original) Zbl 1451.82015 Theor. Math. Phys. 174, No. 1, 109-121 (2013); translation from Teor. Mat. Fiz. 174, No. 1, 125-139 (2013). MSC: 82B23 82B20 81R12 81Q40 41A60 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 174, No. 1, 109--121 (2013; Zbl 1451.82015); translation from Teor. Mat. Fiz. 174, No. 1, 125--139 (2013) Full Text: DOI
Kitanine, N.; Kozlowski, K. K.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Form factor approach to dynamical correlation functions in critical models. (English) Zbl 1456.81239 J. Stat. Mech. Theory Exp. 2012, No. 9, Paper No. P09001, 33 p. (2012). MSC: 81R12 PDFBibTeX XMLCite \textit{N. Kitanine} et al., J. Stat. Mech. Theory Exp. 2012, No. 9, Paper No. P09001, 33 p. (2012; Zbl 1456.81239) Full Text: DOI arXiv
Belliard, S.; Pakuliak, S.; Ragoucy, E.; Slavnov, N. A. The algebraic Bethe ansatz for scalar products in \(SU(3)\)-invariant integrable models. (English) Zbl 1456.82228 J. Stat. Mech. Theory Exp. 2012, No. 10, Paper No. P10017, 25 p. (2012). MSC: 82B23 81R12 82B10 PDFBibTeX XMLCite \textit{S. Belliard} et al., J. Stat. Mech. Theory Exp. 2012, No. 10, Paper No. P10017, 25 p. (2012; Zbl 1456.82228) Full Text: DOI arXiv
Slavnov, N. A. Integral operators with the generalized sine kernel on the real axis. (English. Russian original) Zbl 1254.45013 Theor. Math. Phys. 165, No. 1, 1262-1274 (2010); translation from Teor. Mat. Fiz. 165, No. 1, 32-47 (2010). MSC: 45P05 45M05 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 165, No. 1, 1262--1274 (2010; Zbl 1254.45013); translation from Teor. Mat. Fiz. 165, No. 1, 32--47 (2010) Full Text: DOI arXiv
Kitanine, N.; Kozlowski, K. K.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions. (English) Zbl 1456.82278 J. Stat. Mech. Theory Exp. 2009, No. 4, Paper No. P04003, 66 p. (2009). MSC: 82B23 82B10 60K40 PDFBibTeX XMLCite \textit{N. Kitanine} et al., J. Stat. Mech. Theory Exp. 2009, No. 4, Paper No. P04003, 66 p. (2009; Zbl 1456.82278) Full Text: DOI arXiv
Kitanine, N.; Kozlowski, K. K.; Maillet, J. M.; Slavnov, N. A.; Terras, V. On the thermodynamic limit of form factors in the massless \(XXZ\) Heisenberg chain. (English) Zbl 1241.82029 J. Math. Phys. 50, No. 9, 095209, 24 p. (2009). MSC: 82B23 33B15 82B10 82B20 PDFBibTeX XMLCite \textit{N. Kitanine} et al., J. Math. Phys. 50, No. 9, 095209, 24 p. (2009; Zbl 1241.82029) Full Text: DOI arXiv
Kitanine, N.; Kozlowski, K. K.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Riemann-Hilbert approach to a generalised sine kernel and applications. (English) Zbl 1189.45018 Commun. Math. Phys. 291, No. 3, 691-761 (2009). Reviewer: Vincenzo Vespri (Firenze) MSC: 45Q05 47B35 30E25 81R12 45M05 PDFBibTeX XMLCite \textit{N. Kitanine} et al., Commun. Math. Phys. 291, No. 3, 691--761 (2009; Zbl 1189.45018) Full Text: DOI arXiv
Kitanine, N.; Kozlowski, K. K.; Maillet, J. M.; Niccoli, G.; Slavnov, N. A.; Terras, V. Correlation functions of the open XXZ chain. II. (English) Zbl 1459.82071 J. Stat. Mech. Theory Exp. 2008, No. 7, Paper No. P07010, 33 p. (2008). MSC: 82B23 82B20 82B10 81V10 PDFBibTeX XMLCite \textit{N. Kitanine} et al., J. Stat. Mech. Theory Exp. 2008, No. 7, Paper No. P07010, 33 p. (2008; Zbl 1459.82071) Full Text: DOI arXiv
Kitanine, N.; Kozlowski, K. K.; Maillet, J. M.; Niccoli, G.; Slavnov, N. A.; Terras, V. Correlation functions of the open XXZ chain. I. (English) Zbl 1456.82143 J. Stat. Mech. Theory Exp. 2007, No. 10, Paper No. P10009, 37 p. (2007). MSC: 82B20 82B10 82B23 PDFBibTeX XMLCite \textit{N. Kitanine} et al., J. Stat. Mech. Theory Exp. 2007, No. 10, Paper No. P10009, 37 p. (2007; Zbl 1456.82143) Full Text: DOI arXiv
Kitanine, N.; Kozlowski, K.; Maillet, J. M.; Slavnov, N. A.; Terras, V. On correlation functions of integrable models associated with the six-vertex R-matrix. (English) Zbl 1456.82279 J. Stat. Mech. Theory Exp. 2007, No. 1, Paper No. P01022, 17 p. (2007). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{N. Kitanine} et al., J. Stat. Mech. Theory Exp. 2007, No. 1, Paper No. P01022, 17 p. (2007; Zbl 1456.82279) Full Text: DOI arXiv
Slavnov, N. A. Correlation functions of the \(XXZ\) Heisenberg chain for \(\Delta = 1/2\). (English. Russian original) Zbl 1127.82014 Theor. Math. Phys. 150, No. 2, 259-265 (2007); translation from Teor. Mat. Fiz. 150, No. 2, 304-310 (2007). MSC: 82B20 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 150, No. 2, 259--265 (2007; Zbl 1127.82014); translation from Teor. Mat. Fiz. 150, No. 2, 304--310 (2007) Full Text: DOI
Kitanine, N.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Exact results for the \(\sigma^z\) two-point function of the \(XXZ\) chain at \(\Delta = 1/2\\). (English) Zbl 1459.82048 J. Stat. Mech. Theory Exp. 2005, No. 9, Article ID L09002, 7 p. (2005). MSC: 82B20 PDFBibTeX XMLCite \textit{N. Kitanine} et al., J. Stat. Mech. Theory Exp. 2005, No. 9, Article ID L09002, 7 p. (2005; Zbl 1459.82048) Full Text: DOI arXiv
Kitanine, N.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Master equation for spin-spin correlation functions of the \(XXZ\) chain. (English) Zbl 1109.82311 Nucl. Phys., B 712, No. 3, 600-622 (2005). MSC: 82B20 82B23 81R12 PDFBibTeX XMLCite \textit{N. Kitanine} et al., Nucl. Phys., B 712, No. 3, 600--622 (2005; Zbl 1109.82311) Full Text: DOI arXiv
Kitanine, N.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Correlation functions of the \(XXZ\) spin-\(\frac12\) Heisenberg chain: recent advances (review). (English) Zbl 1080.82531 Int. J. Mod. Phys. A 19, Suppl. May, 248-266 (2004). MSC: 82B23 82B20 82-02 PDFBibTeX XMLCite \textit{N. Kitanine} et al., Int. J. Mod. Phys. A 19, 248--266 (2004; Zbl 1080.82531) Full Text: DOI
Kitanine, N.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Correlation functions of the \(XXZ\) spin-\(1/2\) Heisenberg chain at the free fermion point from their multiple integral representations. (English) Zbl 0998.82009 Nucl. Phys., B 642, No. 3, 433-455 (2002). MSC: 82B20 PDFBibTeX XMLCite \textit{N. Kitanine} et al., Nucl. Phys., B 642, No. 3, 433--455 (2002; Zbl 0998.82009) Full Text: DOI arXiv
Kitanine, N.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field. (English) Zbl 0998.82008 Nucl. Phys., B 641, No. 3, 487-518 (2002). MSC: 82B20 82B10 81U40 PDFBibTeX XMLCite \textit{N. Kitanine} et al., Nucl. Phys., B 641, No. 3, 487--518 (2002; Zbl 0998.82008) Full Text: DOI arXiv
Korepin, V. E.; Slavnov, N. A. Form factors in the finite volume. (English) Zbl 1229.82071 Int. J. Mod. Phys. B 13, No. 24-25, 2933-2941 (1999). MSC: 82B23 17B37 PDFBibTeX XMLCite \textit{V. E. Korepin} and \textit{N. A. Slavnov}, Int. J. Mod. Phys. B 13, No. 24--25, 2933--2941 (1999; Zbl 1229.82071) Full Text: DOI arXiv
Slavnov, N. A. Integral equations for correlation functions of a quantum one-dimensional Bose gas. (English. Russian original) Zbl 1005.82503 Theor. Math. Phys. 121, No. 1, 1358-1376 (1999); translation from Teor. Mat. Fiz. 121, No. 1, 117-138 (1999). MSC: 82B10 82B23 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 121, No. 1, 1358--1376 (1999; Zbl 1005.82503); translation from Teor. Mat. Fiz. 121, No. 1, 117--138 (1999) Full Text: DOI arXiv
Its, A. R.; Slavnov, N. A. On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case. (English. Russian original) Zbl 0991.81016 Theor. Math. Phys. 119, No. 2, 541-593 (1999); translation from Teor. Mat. Fiz. 119, No. 2, 179-248 (1999). MSC: 81Q05 81-02 35Q55 30E25 47N50 PDFBibTeX XMLCite \textit{A. R. Its} and \textit{N. A. Slavnov}, Theor. Math. Phys. 119, No. 2, 541--593 (1999; Zbl 0991.81016); translation from Teor. Mat. Fiz. 119, No. 2, 179--248 (1999) Full Text: DOI arXiv
Slavnov, N. A. Fredholm determinants and \(\tau\)-functions. (English. Russian original) Zbl 0935.35162 Theor. Math. Phys. 109, No. 3, 1523-1535 (1996); translation from Teor. Mat. Fiz. 109, No. 3, 357-371 (1996). MSC: 35Q58 37K10 81T10 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 109, No. 3, 1523--1535 (1996; Zbl 0935.35162); translation from Teor. Mat. Fiz. 109, No. 3, 357--371 (1996) Full Text: DOI
Slavnov, N. A. Cancellation of dual fields in free-fermion models with the trigonometric \(R\)-matrix. (English. Russian original) Zbl 1041.82507 Theor. Math. Phys. 108, No. 2, 993-1002 (1996); translation from Teor. Mat. Fiz. 108, No. 2, 179-192 (1996). MSC: 82B23 81R50 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 108, No. 2, 993--1002 (1996; Zbl 1041.82507); translation from Teor. Mat. Fiz. 108, No. 2, 179--192 (1996) Full Text: DOI
Slavnov, N. A. Differential equations for multipoint correlation functions in a one-dimensional impenetrable Bose-gas. (English. Russian original) Zbl 0890.58026 Theor. Math. Phys. 106, No. 1, 131-142 (1996); translation from Teor. Mat. Fiz. 106, No. 1, 160-174 (1996). MSC: 37J35 37K10 81Q10 82B10 35Q40 81S05 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 106, No. 1, 131--142 (1996; Zbl 0890.58026); translation from Teor. Mat. Fiz. 106, No. 1, 160--174 (1996) Full Text: DOI
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A. Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain. (English. Russian original) Zbl 0860.35120 J. Math. Sci., New York 80, No. 3, 1747-1759 (1996); translation from Zap. Nauchn. Semin. POMI 205, 6-20 (1993). MSC: 35Q55 39A12 PDFBibTeX XMLCite \textit{A. G. Izergin} et al., J. Math. Sci., New York 80, No. 1, 6--20 (1993; Zbl 0860.35120); translation from Zap. Nauchn. Semin. POMI 205, 6--20 (1993) Full Text: DOI EuDML
Korepin, V. E.; Slavnov, N. A. Correlation function of fields in one-dimensional Bose-gas. (English) Zbl 0727.35130 Commun. Math. Phys. 136, No. 3, 633-644 (1991). Reviewer: V.E.Korepin MSC: 35Q55 81V70 PDFBibTeX XMLCite \textit{V. E. Korepin} and \textit{N. A. Slavnov}, Commun. Math. Phys. 136, No. 3, 633--644 (1991; Zbl 0727.35130) Full Text: DOI