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Pakuliak, Stanislav Zdislavovich
Statistics Math-Net.Ru
Total publications: 39
Scientific articles: 39
Presentations: 2

Number of views:
This page:2083
Abstract pages:9197
Full texts:2339
References:1011
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https://www.mathnet.ru/eng/person18692
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https://mathscinet.ams.org/mathscinet/MRAuthorID/257268

Publications in Math-Net.Ru Citations
2021
1. A. N. Liashyk, S. Z. Pakuliak, “Algebraic Bethe ansatz for $\mathfrak o_{2n+1}$-invariant integrable models”, TMF, 206:1 (2021),  23–46  mathnet  mathscinet; Theoret. and Math. Phys., 206:1 (2021), 19–39  isi 4
2020
2. A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Actions of the monodromy matrix elements onto $\mathfrak{gl}(m|n)$-invariant Bethe vectors”, J. Stat. Mech., 2020, 93104, 31 pp.  mathnet  mathscinet  isi  scopus 5
3. Andrii N. Liashyk, Stanislav Z. Pakuliak, “Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types”, SIGMA, 16 (2020), 120, 23 pp.  mathnet  mathscinet  isi  scopus 2
2019
4. A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “New symmetries of ${\mathfrak{gl}(N)}$-invariant Bethe vectors”, J. Stat. Mech., 2019 (2019), 44001, 24 pp.  mathnet  mathscinet  isi  scopus 8
5. A. N. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors for orthogonal integrable models”, TMF, 201:2 (2019),  153–174  mathnet  mathscinet  elib; Theoret. and Math. Phys., 201:2 (2019), 1545–1564  isi  scopus 5
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  mathnet  mathscinet  isi  scopus 12
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  mathnet  isi 10
2017
8. 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  mathnet  mathscinet 11
9. 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.  mathnet  mathscinet  isi  elib  scopus 17
10. 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  mathscinet  isi  scopus 16
11. 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”, Uspekhi Mat. Nauk, 72:1(433) (2017),  37–106  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 72:1 (2017), 33–99  isi  scopus 24
2016
12. 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.  mathnet  mathscinet  isi  elib  scopus 12
13. 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  isi  elib  scopus 13
14. 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), 099, 22 pp.  mathnet  mathscinet  isi  elib  scopus 14
2015
15. 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.  mathnet  mathscinet  zmath  isi  elib  scopus 19
16. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Zero modes method and form factors in quantum integrable models”, Nuclear Phys. B, 893 (2015),  459–481  mathnet  mathscinet  isi  elib  scopus 22
17. Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “${\rm GL}(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators”, SIGMA, 11 (2015), 064, 18 pp.  mathnet  mathscinet  isi  elib  scopus 22
18. Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors”, SIGMA, 11 (2015), 063, 20 pp.  mathnet  mathscinet  isi  elib  scopus 19
2014
19. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors of quantum integrable models based on $U_q(\hat{\mathfrak{gl}}_N)$”, J. Phys. A, 47:10 (2014), 105202, 16 pp.  mathnet  mathscinet  zmath  isi  scopus 11
20. 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  mathnet  mathscinet  zmath  isi  scopus 27
21. S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Determinant representations for form factors in quantum integrable models with the $GL(3)$-invariant $R$-matrix”, TMF, 181:3 (2014),  515–537  mathnet  mathscinet  elib; Theoret. and Math. Phys., 181:3 (2014), 1566–1584  isi  elib  scopus 16
22. S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Scalar products in models with the $GL(3)$ trigonometric $R$-matrix: General case”, TMF, 180:1 (2014),  51–71  mathnet  mathscinet  elib; Theoret. and Math. Phys., 180:1 (2014), 795–814  isi  elib  scopus 8
23. S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Scalar products in models with a $GL(3)$ trigonometric $R$-matrix: Highest coefficient”, TMF, 178:3 (2014),  363–389  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 178:3 (2014), 314–335  isi  elib  scopus 10
2013
24. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Form factors in $SU(3)$-invariant integrable models”, J. Stat. Mech., 2013:4 (2013), 4033, 16 pp.  mathnet  mathscinet  isi  scopus 25
25. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors of $GL(3)$-invariant integrable models”, J. Stat. Mech., 2013:2 (2013), 2020, 24 pp.  mathnet  mathscinet  isi  scopus 25
26. Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Bethe Vectors of Quantum Integrable Models with $\mathrm{GL}(3)$ Trigonometric $R$-Matrix”, SIGMA, 9 (2013), 058, 23 pp.  mathnet  mathscinet  isi  scopus 16
2012
27. S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Highest coefficient of scalar products in $SU(3)$-invariant integrable models”, J. Stat. Mech., 2012:9 (2012), 9003, 17 pp.  mathnet  mathscinet  isi  scopus 17
28. 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., 2012 (2012), 10017, 25 pp.  mathnet  mathscinet  isi  scopus 30
2010
29. Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy, “Universal Bethe Ansatz and Scalar Products of Bethe Vectors”, SIGMA, 6 (2010), 094, 22 pp.  mathnet  mathscinet  isi  scopus 17
2009
30. A. F. Oskin, S. Z. Pakulyak, A. V. Silantiev, “On the universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_N)$”, Algebra i Analiz, 21:4 (2009),  196–240  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:4 (2010), 651–680  isi  scopus 15
2008
31. Sergey Khoroshkin, Stanislav Pakuliak, “Generating Series for Nested Bethe Vectors”, SIGMA, 4 (2008), 081, 23 pp.  mathnet  mathscinet  zmath  isi  scopus 4
2007
32. S. Z. Pakulyak, S. M. Khoroshkin, “Projection method and a universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{sl}}_{N+1})$”, TMF, 150:2 (2007),  286–303  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 150:2 (2007), 244–258  isi  scopus 1
2005
33. S. Z. Pakuliak, S. M. Khoroshkin, “Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$”, TMF, 145:1 (2005),  3–34  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 145:1 (2005), 1373–1399  isi 22
2003
34. S. Z. Pakulyak, S. M. Sergeev, “Spectral Curves and Parameterization of a Discrete Integrable Three-Dimensional Model”, TMF, 136:1 (2003),  30–51  mathnet  mathscinet  elib; Theoret. and Math. Phys., 136:1 (2003), 917–935  isi 4
2000
35. J. Ding, S. Z. Pakulyak, S. M. Khoroshkin, “Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $”, TMF, 124:2 (2000),  179–214  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 124:2 (2000), 1007–1037  isi 12
1997
36. D. R. Lebedev, S. Z. Pakulyak, S. M. Khoroshkin, “Zamolodchikov–Faddeev algebras for Yangian doubles at level 1”, TMF, 110:1 (1997),  25–45  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 110:1 (1997), 18–34  isi
1995
37. S. Z. Pakulyak, “On the bosonization of $L$-operators for quantum affine algebra $U_q(\mathfrak{sl}_2)$”, TMF, 104:1 (1995),  64–77  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 104:1 (1995), 810–822  isi 1
38. P. I. Holod, S. Z. Pakulyak, “The dressing techniques for intermediate hierarchies”, TMF, 103:3 (1995),  422–436  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 103:3 (1995), 668–680  isi 1
1993
39. A. D. Mironov, S. Z. Pakulyak, “On the continuum limit of the conformal matrix models”, TMF, 95:2 (1993),  317–340  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 95:2 (1993), 604–625  isi 20

Presentations in Math-Net.Ru
1. Recent Advances in Algebraic Bethe Ansatz
S. Z. Pakuliak
International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov
June 1, 2022 14:40   
2. Symmetries of the space of states in quantum integrable models
S. Z. Pakuliak
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 15, 2006

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