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Slavnov, Nikita Andreevich

Total publications: 109 (108)
in MathSciNet: 90 (90)
in zbMATH: 56 (56)
in Web of Science: 86 (86)
in Scopus: 86 (86)
Cited articles: 89
Citations in Math-Net.Ru: 285
Citations in MathSciNet: 407
Citations in Web of Science: 1878
Citations in Scopus: 1920
Presentations: 28

Number of views:
This page:4049
Abstract pages:11048
Full texts:3707
References:1126
Slavnov, Nikita Andreevich
Doctor of physico-mathematical sciences (1999)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 30.04.1962
Phone: +7 (495) 984 81 41 * 39 73
E-mail:
Keywords: correlation function, form factor, Bethe ansatz.
UDC: 517.41, 517.958, 530.145, 530.1, 517.9

Subject:

Quantum integrable systems.

   
Main publications:
  1. K. Kozlowski, J. M. Maillet, N. A. Slavnov, “Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas”, J. Stat. Mech. Theory Exp., 2011, P03018 , 38 pp.  crossref  isi  scopus
  2. N. Kitanine, K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions”, J. Stat. Mech. Theory Exp., 2009, no. 4, P04003 , 66 pp.  crossref  mathscinet  isi  scopus
  3. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “Master equation for spin-spin correlation functions of the $XXZ$ chain”, Nuclear Phys. B, 712:3 (2005), 600–622  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  4. A. R. Its, A. G. Izergin, V. E. Korepin, N. A. Slavnov, “Differential equations for quantum correlation function”, Internat. J. Modern Phys. B, 4:5 (1990), 1003–1037  crossref  mathscinet  zmath  adsnasa  isi
  5. N. A. Slavnov, “Calculation of scalar products of wave functions and form factors in the framework of the algebraic Bethe ansatz”, Theoret. and Math. Phys., 79:2 (1989), 502–508  mathnet  crossref  mathscinet  adsnasa  isi  scopus

http://www.mathnet.ru/eng/person18676
http://scholar.google.com/citations?user=dfCP4xQAAAAJ&hl=en
http://zbmath.org/authors/?q=ai:slavnov.nikita-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/236570
http://elibrary.ru/author_items.asp?authorid=5726
http://www.researcherid.com/rid/Q-4624-2016
http://www.scopus.com/authid/detail.url?authorId=6603896872
https://www.researchgate.net/profile/Nikita_Slavnov

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |



   2020
1. Sovremennye problemy matematicheskoi i teoreticheskoi fiziki, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Andreya Alekseevicha Slavnova, Tr. MIAN, 309, ed. N. A. Slavnov, A. K. Pogrebkov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, MIAN, M., 2020  mathnet

   2019
2. A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “New symmetries of ${\mathfrak{gl}(N)}$-invariant Bethe vectors”, J. Stat. Mech., 2019 (2019), 044001 , 24 pp., arXiv: 1810.00364  mathnet  crossref  isi  scopus
3. A. N. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors for orthogonal integrable models”, Theoret. and Math. Phys., 201:2 (2019), 1543–1562 , arXiv: 1906.03202  mathnet  crossref
4. S. Belliard and N. A. Slavnov, “Scalar Products in Twisted XXX Spin Chain. Determinant Representation”, SIGMA, 15 (2019), 066 , 30 pp., arXiv: 1906.06897  mathnet  crossref  isi (cited: 1)  scopus (cited: 2)
5. S. Belliard, N. A. Slavnov, “Why scalar products in the algebraic Bethe ansatz have determinant representation”, JHEP, 2019:10 (2019), 103 , 17 pp., arXiv: 1908.00032  mathnet  crossref  scopus;

   2018
6. 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 , arXiv: 1705.09219  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 3)
7. 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 pp., arXiv: 1711.03867  mathnet  crossref  isi (cited: 4)
8. A. Liashyk, N. A. Slavnov, “On Bethe vectors in $\mathfrak{gl}_3$-invariant integrable models”, Journal of High Energy Physics, 2018, 2018:18 , 31 pp., arXiv: 1803.07628  mathnet  crossref  mathscinet  isi (cited: 9)  scopus (cited: 8)
9. Samuel Belliard, Nikita A. Slavnov, Benoit Vallet, “Modified Algebraic Bethe Ansatz: Twisted XXX Case”, SIGMA, 14 (2018), 54 , 18 pp., arXiv: 1804.00597  mathnet (cited: 4)  crossref  mathscinet  isi (cited: 6)  scopus (cited: 5)
10. S. Belliard, N. A. Slavnov, “A note on $\mathfrak{gl}_2$-invariant Bethe vectors”, JHEP, 2018 (2018), 31 , 14 pp., arXiv: 1802.07576  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
11. S. Belliard, N. A. Slavnov, B. Vallet, “Scalar product of twisted XXX modified Bethe vectors”, J. Stat. Mech., 2018:9 (2018), 93103 , 28 pp., arXiv: 1805.11323  mathnet  crossref  isi (cited: 3)  scopus (cited: 2)
12. 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  mathscinet  adsnasa  isi  elib  scopus

   2017
13. 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  crossref  crossref  mathscinet  adsnasa  isi (cited: 8)  elib  scopus (cited: 7)
14. 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 pp., arXiv: 1606.03573  mathnet  crossref  mathscinet  isi (cited: 13)  elib  scopus (cited: 10)
15. Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Bethe vectors for models based on the super-Yangian $Y(gl(m|n))$”, J. Integrab. Syst., 2 (2017), 1–31 , arXiv: 1604.02311  mathnet  crossref  mathscinet
16. J. Fuksa, N. A. Slavnov, “Form factors of local operators in supersymmetric quantum integrable models”, J. Stat. Mech., 2017, 43106 , 21 pp., arXiv: 1701.05866  mathnet  crossref  mathscinet  isi (cited: 6)  scopus (cited: 5)
17. N. A. Slavnov, “Algebraic Bethe ansatz”, Lekts. Kursy NOC, 27, Steklov Math. Institute of RAS, Moscow, 2017, 3–189  mathnet  mathnet  crossref  elib
18. 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 , arXiv: 1704.08173  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 6)

   2016
19. Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models”, SIGMA, 12 (2016), 99 , 22 pp., arXiv: 1605.06419  mathnet (cited: 8)  crossref  mathscinet  isi (cited: 8)  elib  scopus (cited: 8)
20. 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 , arXiv: 1607.04978  mathnet  crossref  isi (cited: 11)  elib  scopus (cited: 10)
21. N. A. Slavnov, “Multiple commutation relations in the models with $\mathfrak gl(2|1)$ symmetry”, Theoret. and Math. Phys., 189:2 (2016), 1624–1644  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 7)  elib  scopus (cited: 6)
22. 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 pp., arXiv: 1605.09189  mathnet  crossref  isi (cited: 10)  elib  scopus (cited: 11)

   2015
23. Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “$GL(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators”, SIGMA, 11 (2015), 064 , 18 pp., arXiv: 1502.01966  mathnet (cited: 16)  crossref  mathscinet  isi (cited: 17)  elib (cited: 2)  scopus (cited: 15)
24. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Zero modes method and form factors in quantum integrable models”, Nuclear Phys. B, 893 (2015), 459–481 , arXiv: 1412.6037  mathnet (cited: 7)  crossref  mathscinet  isi (cited: 19)  elib (cited: 8)  scopus (cited: 19)
25. N. A. Slavnov, “Scalar products in $GL(3)$-based models with trigonometric $R$-matrix. Determinant representation”, J. Stat. Mech. Theory Exp., 2015, no. 03, P03019 , 25 pp., arXiv: 1501.06253  mathnet (cited: 2)  crossref  mathscinet  isi (cited: 13)  elib  scopus (cited: 13)
26. N. A. Slavnov, “One-dimensional two-component Bose gas and the algebraic Bethe ansatz”, Theoret. and Math. Phys., 183:3 (2015), 800–821  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 5)  elib  scopus (cited: 4)
27. Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “$GL(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors”, SIGMA, 11 (2015), 063 , 20 pp., arXiv: 1501.07566  mathnet (cited: 15)  crossref  mathscinet  isi (cited: 15)  elib (cited: 4)  scopus (cited: 13)
28. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Form factors of local operators in a one-dimensional two-component Bose gas”, J. Phys. A, 48:43 (2015), 435001 , 21 pp., arXiv: 1503.00546  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 13)  elib (cited: 4)  scopus (cited: 13)

   2014
29. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors of quantum integrable models based on $U_q(\widehat{\mathfrak{gl}}_N)$”, J. Phys. A, 47 (2014), 105202 , 16 pp., arXiv: 1310.3253  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  scopus (cited: 7)
30. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Form factors in quantum integrable models with $GL(3)$-invariant $R$-matrix”, Nucl. Phys. B, 881 (2014), 343–368 , arXiv: 1312.1488  mathnet  crossref  mathscinet  zmath  isi (cited: 20)  elib (cited: 9)  scopus (cited: 19)
31. S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Scalar products in models with a $GL(3)$ trigonometric $R$-matrix: Highest coefficient”, Theoret. and Math. Phys., 178:3 (2014), 314–335 , arXiv: 1311.3500  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 8)
32. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Scalar products in models with the $GL(3)$ thigonometric $R$-matrix: general case”, Theoret. and Math. Phys., 180:1 (2014), 795–814 , arXiv: 1401.4355  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 6)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 6)
33. S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Determinant representations for form factors in quantum integrable models with the $GL(3)$-invariant $R$-matrix”, Theoret. and Math. Phys., 181:3 (2014), 1566–1584 , arXiv: 1406.5125  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 8)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 8)

   2013
34. N. A. Slavnov, “Asymptotic expansions for correlation functions of one-dimensional bosons”, Theoret. and Math. Phys., 174:1 (2013), 109–121  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
35. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors of $GL(3)$-invariant integrable models”, J. Stat. Mech. Theory Exp., 2013, no. 2, P02020 , 24 pp., arXiv: 1210.0768  mathnet  crossref  mathscinet  isi (cited: 24)  scopus (cited: 24)
36. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Form factors in $SU(3)$-invariant integrable models”, J. Stat. Mech. Theory Exp., 2013, no. 4, P04033 , 16 pp., arXiv: 1211.3968  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 17)  scopus (cited: 29)
37. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix”, SIGMA, 9 (2013), 058 , 23 pp., arXiv: 1304.7602  mathnet (cited: 13)  crossref  mathscinet  isi (cited: 11)  scopus (cited: 11)

   2012
38. N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “Form factor approach to dynamical correlation functions in critical models”, J. Stat. Mech. Theory Exp., 2012, P09001 , 33 pp., arXiv: 1206.2630  mathnet  crossref  mathscinet  isi (cited: 49)  scopus (cited: 45)
39. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Highest coefficient of scalar products in SU(3)-invariant integrable models”, J. Stat. Mech. Theory Exp., 2012, P09003 , 17 pp., arXiv: 1206.4931  mathnet  crossref  mathscinet  isi (cited: 24)  scopus (cited: 23)
40. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “The algebraic Bethe ansatz for scalar products in SU(3)-invariant integrable models”, J. Stat. Mech. Theory Exp., 2012, P10017 , 25 pp., arXiv: 1207.0956  mathnet  crossref  mathscinet  isi (cited: 34)  scopus (cited: 36)
41. N. A. Slavnov, “Form factor approach to the Calculation of correlation functions of integrable models”, Geometric methods in physics (Bialowieza, Poland, June 24–30, 2012), Trends in Mathematics, eds. P. Kielanowski, S. Twareque Ali, A. Odesskii, A. Odzijewicz, M. Schlichenmaier, T. Voronov, Springer, Basel, 2012, 209–220

   2011
42. N. Kitanine, K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “The thermodynamic limit of particle-hole form factors in the massless $XXZ$ Heisenberg chain”, J. Stat. Mech. Theory Exp., 2011, P05028 , 34 pp.  crossref  isi (cited: 30)  scopus (cited: 35)
43. K. Kozlowski, J. M. Maillet, N. A. Slavnov, “Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas”, J. Stat. Mech. Theory Exp., 2011, P03018 , 38 pp.  crossref  isi (cited: 19)  scopus (cited: 19)
44. K. Kozlowski, J. M. Maillet, N. A. Slavnov, “Correlation functions of one-dimensional bosons at low temperature”, J. Stat. Mech. Theory Exp., 2011, P03019 , 25 pp.  crossref  isi (cited: 30)  scopus (cited: 27)
45. N. A. Slavnov, Introduction to the theory of quantum integrable systems. Quantum nonlinear Schrödinger equation, Lekts. Kursy NOC, 18, Steklov Math. Inst., RAS, Moscow, 2011 , 120 pp.  mathnet  mathnet  crossref  crossref  zmath  elib
46. N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “A form factor approach to the asymptotic behavior of correlation functions”, J. Stat. Mech. Theory Exp., 2011, P12010 , 28 pp., arXiv: hep-th/1110.0803  crossref  adsnasa  isi (cited: 51)  scopus (cited: 51)

   2010
47. N. A. Slavnov, “Integral operators with the generalized sine kernel on the real axis”, Theoret. and Math. Phys., 165:1 (2010), 1262–1274  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 5)

   2009
48. N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain”, J. Math. Phys., 50:9 (2009), 095209 , 24 pp.  crossref  mathscinet  zmath  adsnasa  isi (cited: 44)  scopus (cited: 43)
49. N. Kitanine, K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “Riemann-Hilbert approach to a generalized sine kernel and applications”, Comm. Math. Phys., 291:3 (2009), 691–761  crossref  mathscinet  zmath  adsnasa  isi (cited: 32)  elib (cited: 29)  scopus (cited: 31)
50. N. Kitanine, K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions”, J. Stat. Mech. Theory Exp., 2009, no. 4, P04003 , 66 pp.  crossref  mathscinet  isi (cited: 76)  scopus (cited: 80)

   2008
51. N. Kitanine, K. Kozlowski, J. M. Maillet, G. Niccoli, N. A. Slavnov, V. Terras, “Correlation functions of the open $XXZ$ chain. II”, J. Stat. Mech. Theory Exp., 2008, no. 7, P07010 , 33 pp.  crossref  mathscinet  isi (cited: 29)  scopus (cited: 35)

   2007
52. N. Kitanine, K. K. Kozlowski, J. M. Maillet, G. Niccoli, N. A. Slavnov, V. Terras, “Correlation functions of the open $XXZ$ chain. I”, J. Stat. Mech. Theory Exp., 2007, no. 10, P10009 , 37 pp.  crossref  mathscinet  isi (cited: 47)  scopus (cited: 58)
53. N. A. Slavnov, “The algebraic Bethe ansatz and quantum integrable systems”, Russian Math. Surveys, 62:4 (2007), 727–766  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 34)  elib (cited: 26)  elib (cited: 26)  scopus (cited: 35)
54. N. A. Slavnov, “Correlation functions of the $XXZ$ Heisenberg chain for $\Delta=1/2$”, Theoret. and Math. Phys., 150:2 (2007), 259–265  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
55. N. Kitanine, K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “On correlation functions of integrable models associated to the six-vertex $R$-matrix”, J. Stat. Mech. Theory Exp., 2007, no. 1, P01022 , 17 pp.  crossref  mathscinet  isi (cited: 22)  scopus (cited: 29)
56. J.-S. Caux, P. Calabrese, N. A. Slavnov, “One-particle dynamical correlations in the one-dimensional Bose gas”, J. Stat. Mech. Theory Exp., 2007, P01008  crossref  isi (cited: 113)  scopus (cited: 108)

   2005
57. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “On the algebraic Bethe Ansatz approach to the correlation functions of the $XXZ$ spin-$\frac12$ Heisenberg chain”, Solvable lattice models, RIMS, Kyoto, 2005, 14–48 , arXiv: hep-th/0505006v1
58. N. A. Slavnov, “On Scalar Products in the Algebraic Bethe Ansatz”, Proc. Steklov Inst. Math., 251 (2005), 246–253  mathnet  mathscinet  zmath
59. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “Master equation for spin-spin correlation functions of the $XXZ$ chain”, Nuclear Phys. B, 712:3 (2005), 600–622  crossref  mathscinet  zmath  adsnasa  isi (cited: 57)  elib (cited: 47)  scopus (cited: 57)
60. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “Dynamical correlation functions of the $XXZ$ spin-$1/2$ chain”, Nuclear Phys. B, 729:3 (2005), 558–580  crossref  mathscinet  zmath  adsnasa  isi (cited: 36)  elib (cited: 28)  scopus (cited: 36)
61. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “On the spin-spin correlation functions of the $XXZ$ spin-$\frac12$ infinite chain”, J. Phys. A, 38:34 (2005), 7441–7460  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  elib (cited: 18)  scopus (cited: 18)
62. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “Exact results for the $\sigma^2$ two-point function of the $XXZ$ chain at $\Delta=1/2$”, J. Stat. Mech. Theory Exp., 2005, no. 9, L09002 , 7 pp.  crossref  mathscinet  isi (cited: 11)  scopus (cited: 6)

   2004
63. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “Correlation functions of the $XXZ$ spin-$\frac12$ Heisenberg chain: recent advances”, Proceedings of 6th International Workshop on Conformal Field Theory and Integrable Models, Internat. J. Modern Phys. A, 19, no. May, suppl., 2004, 248–266  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 4)
64. N. A. Slavnov, “Emptiness Formation Probability in the Spin-1/2 $XXZ$ Heisenberg Chain”, Theoret. and Math. Phys., 139:1 (2004), 529–535  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2003
65. N. A. Slavnov, “Integral Representations for Correlation Functions of the $XXZ$ Heisenberg Chain”, Theoret. and Math. Phys., 135:3 (2003), 828–835  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2002
66. N. A. Slavnov, “The partition function of the six-vertex model as a Fredholm determinant”, Isomonodromic deformations and applications in physics (Montréal, QC, 2000), CRM Proc. Lecture Notes, 31, Amer. Math. Soc., Providence, RI, 2002, 207–218  mathscinet  zmath
67. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “Spin-spin correlation functions of the $XXZ$-$\frac12$ Heisenberg chain in a magnetic field”, Nuclear Phys. B, 641 (2002), 487–518  crossref  mathscinet  zmath  adsnasa  isi (cited: 101)  elib (cited: 94)  scopus (cited: 108)
68. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “Correlation functions of the $XXZ$ spin-$\frac12$ Heisenberg chain at the free fermion point from their multiple integral representations”, Nuclear Phys. B, 642:3 (2002), 433–455  crossref  mathscinet  zmath  adsnasa  isi (cited: 44)  elib (cited: 47)  scopus (cited: 51)
69. N. Kitanine, J. M. Maillet, N. A. Slavnov, V. Terras, “Emptiness formation probability of the $XXZ$ spin-$\frac12$ Heisenberg chain at $\Delta=\frac12$”, J. Phys. A, 35:27 (2002), L385–L388  crossref  mathscinet  zmath  adsnasa  isi (cited: 42)  scopus (cited: 49)
70. N. Kitanine, J. M. Maillet, N.A. Slavnov, V. Terras, “Large distance asymptotic behavior of the emptiness formation probability of the $XXZ$ spin-$\frac12$ Heisenberg chain”, J. Phys. A, 35:49 (2002), L753–L758  crossref  mathscinet  zmath  adsnasa  isi (cited: 44)  scopus (cited: 53)

   2001
71. N. Kitanine A., N. A. Slavnov, “The algebraic Bethe ansatz and the correlation functions of the Heisenberg magnet”, Integrable structures of exactly solvable two-dimensional models of quantum field theory (Kiev, 2000), NATO Sci. Ser. II Math. Phys. Chem., 35, Kluwer Acad. Publ., Dordrecht, 2001, 243–264  mathscinet  zmath

   2000
72. V. Korepin, N. Slavnov, “Quantum inverse scattering method and correlation functions”, L. D. Faddeev's Seminar on Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, 201, Amer. Math. Soc., Providence, RI, 2000, 115–121  mathscinet  zmath  isi (cited: 7)
73. N. A. Slavnov, “A nonlinear identity for the scattering phase of integrable models”, Proceedings of the Workshop on Nonlinearity, Integrability and All That: Twenty Years after NEEDS '79 (Gallipoli, 1999), eds. M. Boiti et al., World Sci. Publ., River Edge, NJ, 2000, 196–202  crossref  mathscinet  zmath

   2003
74. N. A. Slavnov, “Fredholm determinant representation for the partition function of the six-vertex model”, J. Math. Sci. (N. Y.), 115:1 (2003), 2058–2065  mathnet  crossref  mathscinet  zmath  adsnasa

   2000
75. H. Frahm, N. A. Slavnov, “Magnetic properties of doped Heisenberg chains”, Nuclear Phys. B, 575:3 (2000), 485–503  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   1999
76. V. E. Korepin, N. A. Slavnov, “A closed expression for quantum correlation functions of exactly solvable models of quantum field theory”, Path integrals from peV to TeV (Florence, 1998), World Sci. Publ., River Edge, NJ, 1999, 71–79  mathscinet
77. V. E. Korepin, N. A. Slavnov, “Form factors in the finite volume” (Torino, 1998), Internat. J. Modern Phys. B, Proceedings of the Euroconference on New Symmetries in Statistical Mechanics and Condensed Matter Physics, 13, no. 24-25, 1999, 2933–2941  crossref  mathscinet  zmath  adsnasa  isi (cited: 21)  scopus (cited: 22)
78. V. Korepin, N. Slavnov, “Thermodynamics of quantum nonlinear Schrödinger equation”, XIIth International Congress of Mathematical Physics (ICMP '97) (Brisbane), Int. Press, Cambridge, MA, 1999, 345–349  mathscinet  zmath
79. V. E. Korepin, N. A. Slavnov, “The Form Factors in a Finite Volume”, Proc. Steklov Inst. Math., 226 (1999), 72–85  mathnet  mathscinet  zmath
80. N. A. Slavnov, “Integral equations for correlation functions of a quantum one-dimensional Bose gas”, Theoret. and Math. Phys., 121:1 (1999), 1358–1376  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib (cited: 7)  scopus (cited: 9)
81. A. R. Its, N. A. Slavnov, “On the Riemann–Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case”, Theoret. and Math. Phys., 119:2 (1999), 541–593  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  elib (cited: 8)  scopus (cited: 10)
82. H. Frahm, N. A. Slavnov, “New solutions to the reflection equation and the projecting method”, J. Phys. A, 32:9 (1999), 1547–1555  crossref  mathscinet  zmath  adsnasa  isi (cited: 32)  scopus (cited: 33)

   1998
83. V. E. Korepin, N. A. Slavnov, “The determinant representation for quantum correlation functions of the sinh-Gordon model”, J. Phys. A, 31:46 (1998), 9283–9295  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib (cited: 9)  scopus (cited: 9)
84. N. A. Slavnov, “A nonlinear identity for the scattering phase of integrable models”, Theoret. and Math. Phys., 116:3 (1998), 1021–1023  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)

   2001
85. N. A. Slavnov, “Asymptotics of the Fredholm determinant associated with the correlation functions of the quantum nNonlinear Schrödinger equation”, J. Math. Sci. (New York), 104:3 (2001), 1135–1143  mathnet  crossref  mathscinet  zmath  scopus

   1998
86. V. Korepin, N. Slavnov, “The new identity for the scattering matrix of exactly solvable models”, Eur. Phys. J. B Condens. Matter Phys., 5:3 (1998), 555–557  crossref  mathscinet  adsnasa  isi (cited: 15)

   2000
87. N. A. Slavnov, “On an identity for dual fields”, J. Math. Sci. (New York), 100:2 (2000), 2181–2188  mathnet  crossref  mathscinet  zmath  scopus (cited: 4)

   1997
88. T. Kojima, V. E. Korepin, N. A. Slavnov, “Determinant representation for dynamical correlation function of the quantum Nonlinear Schrödinger equation”, Comm. Math. Phys., 188:3 (1997), 657–689  crossref  mathscinet  zmath  adsnasa  isi (cited: 52)  scopus (cited: 47)
89. T. Kojima, V. E. Korepin, N. A. Slavnov, “Completely integrable equation for the quantum correlation function of nonlinear Schrödinger equation”, Comm. Math. Phys., 189:3 (1997), 709–728  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  scopus (cited: 11)
90. V. E. Korepin, N. A. Slavnov, “Normal ordering in the theory of correlation functions of exactly solvable models”, J. Phys. A, 30:24 (1997), 8623–8633  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 5)
91. V. E. Korepin, N. A. Slavnov, “The Riemann–Hilbert problem associated with the quantum nonlinear Schrödinger equation”, J. Phys. A, 30:23 (1997), 8241–8255  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 7)
92. V. E. Korepin, N. A. Slavnov, “Time and temperature dependent correlation functions of 1D models of quantum statistical mechanics”, Phys. Lett. A, 236:3 (1997), 201–205  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  scopus (cited: 14)

   1996
93. N. A. Slavnov, “Fredholm determinants and $\tau$-functions”, Theoret. and Math. Phys., 109:3 (1996), 1523–1535  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus (cited: 1)
94. N. A. Slavnov, “Cancellation of dual fields in free fermion models with trigonometric $R$-matrix”, Theoret. and Math. Phys., 108:2 (1996), 993–1002  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 2)
95. N. A. Slavnov, “Differential equations for multipoint correlation functions in one-dimensional impenetrable bose-gas”, Theoret. and Math. Phys., 106:1 (1996), 131–142  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  scopus (cited: 8)

   1998
96. A. G. Izergin, N. A. Kitanin, N. A. Slavnov, “On correlation functions of the $XY$ model”, J. Math. Sci. (New York), 88:2 (1998), 224–232  mathnet  crossref  mathscinet  zmath  zmath  zmath  scopus (cited: 6)

   1995
97. A. G. Izergin, A. R. Its, V. E. Korepin, N. A. Slavnov, “The matrix Riemann–Hilbert problem and differential equations for correlation functions of the $XXO$ Heisenberg chain”, St. Petersburg Math. J., 6:2 (1995), 315–326  mathnet  mathscinet  zmath

   1993
98. Its A. R., Izergin A. G., Korepin V. E., N. A. Slavnov, “The quantum correlation function as the $\tau$ function of classical differential equations”, Important developments in soliton theory, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993, 407–417  crossref  mathscinet  zmath

   1996
99. A. G. Izergin, A. R. Its, V. E. Korepin, N. A. Slavnov, “Integrable differential equations for temperature correlation functions of the Heisenberg $XXO$ chain”, J. Math. Sci., 80:3 (1996), 1747–1759  mathnet  crossref  mathscinet  zmath  zmath  zmath  scopus (cited: 1)

   1993
100. A. R. Its, A. G. Izergin, V. E. Korepin, N. A. Slavnov, “Temperature correlations of quantum spins”, Phys.l Rev. Lett., 70:11 (1993), 1704–1706  crossref  adsnasa  isi (cited: 79)  scopus (cited: 81)

   1991
101. V. E. Korepin, N. A. Slavnov, “Correlation functions of fields in One-dimensional Bose-gas”, Comm. Math. Phys., 136:3 (1991), 633–644  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  scopus (cited: 16)

   1990
102. Bogoliubov N. M., Korepin V. E., N. A. Slavnov, “Time-temperature correlation functions of densities of one-dimensional Bose gas”, Solitons and applications (Dubna, 1989), World Sci. Publ., River Edge, NJ, 1990, 159–169  mathscinet
103. N. A. Slavnov, “Nonequal-time current correlation function in a one-dimensional Bose gas”, Theoret. and Math. Phys., 82:3 (1990), 273–282  mathnet  crossref  mathscinet  adsnasa  isi (cited: 55)  scopus (cited: 57)
104. V. E. Korepin, N. A. Slavnov, “Time dependence correlation function of an impenetrable Bose-gas as a Fredholm minor. I”, Comm. Math. Phys., 129:1 (1990), 103–113  crossref  mathscinet  zmath  adsnasa  isi (cited: 41)  scopus (cited: 44)
105. A. R. Its, A. G. Izergin, V. E. Korepin, N. A. Slavnov, “Differential equations for quantum correlation function”, Internat. J. Modern Phys. B, 4:5 (1990), 1003–1037  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)
106. V. E. Korepin, N. A. Slavnov, “Time dependence of the density-density temperature correlation function of one-dimensional Bose-gas”, Nuclear Phys. B, 340:2-3 (1990), 759–766  crossref  mathscinet  adsnasa  isi (cited: 1)  scopus (cited: 2)

   1989
107. N. A. Slavnov, “Calculation of scalar products of wave functions and form factors in the framework of the algebraic Bethe ansatz”, Theoret. and Math. Phys., 79:2 (1989), 502–508  mathnet  crossref  mathscinet  adsnasa  isi (cited: 203)  scopus (cited: 206)

   1987
108. A. G. Izergin, V. E. Korepin, N. A. Slavnov, “Finite-temperature correlation functions of Heisenberg antiferromagnet”, Theoret. and Math. Phys., 72:2 (1987), 878–884  mathnet  crossref  mathscinet  adsnasa  isi (cited: 1)  scopus (cited: 1)

   1986
109. V. E. Korepin, N. A. Slavnov, “Correlation function of currents in a one-dimensional Bose gas”, Theoret. and Math. Phys., 68:3 (1986), 955–960  mathnet  crossref  mathscinet  adsnasa  isi (cited: 3)  scopus (cited: 3)

Presentations in Math-Net.Ru
1. Nested algebraic Bethe ansatz and correlation functions
N. A. Slavnov
Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005
November 19, 2018 15:50   
2. Nested algebraic Bethe ansatz. Recent results
N. A. Slavnov
Complex analysis and mathematical physics
April 3, 2018 16:00
3. On the scalar products of Bethe vectors (continuation)
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 13, 2017 14:00
4. Study of form factors of local operators in $\mathfrak{gl}(2|1)$-invariant integrable models
N. A. Slavnov
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2017
November 29, 2017 14:00   
5. On the scalar products of Bethe vectors
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
November 15, 2017 14:00
6. Generalized Gaudin hypothesis
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 29, 2017 14:00
7. Form factors of local operators in the models with $\operatorname{gl}(2|1)$-invariant $R$-matrix
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 27, 2016 14:00
8. Form factors of local operators in a one-dimensional two-component Bose gas
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 18, 2015 14:00
9. Quantum inverse scattering problem for models with $GL(N)$-invariant $R$-matrix
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 18, 2015 14:00
10. Метод нулевых мод в алгебраическом анзаце Бете (продолжение)
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 17, 2014 14:00
11. Метод нулевых мод в алгебраическом анзаце Бете
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 10, 2014 14:00
12. Вычисление формфакторов в рамках иерархического анзаца Бете
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 23, 2014 14:00
13. Скалярные произведения в моделях с GL(3)-инвариантной $R$-матрицей
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 6, 2013 14:00
14. Form factor approach to the calculation of dynamical correlation functions in critical models
N. A. Slavnov
Steklov Mathematical Institute Seminar
January 17, 2013 16:30   
15. О суммировании формфакторов в критических моделях (с некоторыми техническими деталями)
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 16, 2011 14:00
16. Асимптотическое поведение температурных корреляционных функций в модели одномерных бозонов
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
September 22, 2010 14:00
17. Формфакторный подход к вычислению корреляционных функций интегрируемых моделей
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 15, 2009 14:00
18. Асимптотическое обращение интегральных операторов с обобщенным синус-ядром
N. A. Slavnov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 23, 2008 11:00
19. Long distance asymptotic behavior of correlation functions of quantum integrable models. Part II
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
October 15, 2008 14:00
20. On the long-distance asymptotic behavior of correlation functions of quantum integrable models
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 23, 2008 14:00
21. On the quantum XXZ Heisenberg chain
N. A. Slavnov
First Christmas scientific session MIAN-POMI "Dynamical Systems"
December 13, 2007
22. Asymptotic behavior of correlation functions of Heisenberg XXZ-chain. Part 2
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 7, 2007 14:00
23. On the correlation functions of a generalized model with R-matrix of the XXZ chain
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 1, 2006
24. XXZ chain and Alternating Sign Matrices
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
October 5, 2005
25. Корреляционные функции XXZ цепочки Гейзенберга
N. A. Slavnov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
July 27, 2005
26. Dynamical correlation functions (continuation)
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 24, 2005
27. Dynamical correlation functions
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 16, 2005
28. Dynamical correlation functions of the XXZ spin-1/2 chain. Part I. Bethe equations
N. A. Slavnov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
September 22, 2004

Books in Math-Net.Ru
  1. Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birth of Academician Andrei Alekseevich Slavnov, Tr. Mat. Inst. Steklova, 309, ed. N. A. Slavnov, A. K. Pogrebkov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, 2020
    http://mi.mathnet.ru/book1783
  2. N. A. Slavnov, Algebraic Bethe ansatz, Lekts. Kursy NOC, 27, 2017, 190 с.
    http://mi.mathnet.ru/book1678
  3. N. A. Slavnov, Introduction to the theory of quantum integrable systems. Quantum nonlinear Schrödinger equation, Lekts. Kursy NOC, 18, 2011, 120 с.
    http://mi.mathnet.ru/book1362

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