Derkachov, Sergey É.; Kozlowski, Karol K.; Manashov, Alexander N. Completeness of SoV representation for \(\mathrm{SL}(2,\mathbb{R})\) spin chains. (English) Zbl 07425538 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 063, 26 p. (2021). MSC: 82-XX 33C70 81R12 PDFBibTeX XMLCite \textit{S. É. Derkachov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 063, 26 p. (2021; Zbl 07425538) Full Text: DOI arXiv
Derkachov, Sergey; Olivucci, Enrico Exactly solvable single-trace four point correlators in \(\chi \mathrm{CFT}_4\). (English) Zbl 1460.81038 J. High Energy Phys. 2021, No. 2, Paper No. 146, 86 p. (2021). MSC: 81R12 81T40 81Q30 62P35 PDFBibTeX XMLCite \textit{S. Derkachov} and \textit{E. Olivucci}, J. High Energy Phys. 2021, No. 2, Paper No. 146, 86 p. (2021; Zbl 1460.81038) Full Text: DOI arXiv
Derkachov, Sergey É.; Manashov, Alexander N. On complex gamma-function integrals. (English) Zbl 1436.81043 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 003, 20 p. (2020). MSC: 81Q10 81R05 82B20 82D40 33C70 33D05 PDFBibTeX XMLCite \textit{S. É. Derkachov} and \textit{A. N. Manashov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 003, 20 p. (2020; Zbl 1436.81043) Full Text: DOI arXiv
Belousov, N. M.; Derkachov, S. E. The Q-operator for the quantum NLS model. (English. Russian original) Zbl 1431.82003 J. Math. Sci., New York 242, No. 5, 608-627 (2019); translation from Zap. Nauchn. Semin. POMI 473, 34-65 (2018). MSC: 82B20 82B23 35Q55 17B81 16T25 81R50 PDFBibTeX XMLCite \textit{N. M. Belousov} and \textit{S. E. Derkachov}, J. Math. Sci., New York 242, No. 5, 608--627 (2019; Zbl 1431.82003); translation from Zap. Nauchn. Semin. POMI 473, 34--65 (2018) Full Text: DOI arXiv
Valinevich, P. A.; Derkachov, S. E.; Isaev, A. P.; Komisarchuk, A. V. Orthogonal polynomials, 6J-symbols, and statistical weights of SOS models. (English. Russian original) Zbl 1428.82018 J. Math. Sci., New York 238, No. 6, 834-853 (2019); translation from Zap. Nauchn. Semin. POMI 465, 105-134 (2017). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 17B81 PDFBibTeX XMLCite \textit{P. A. Valinevich} et al., J. Math. Sci., New York 238, No. 6, 834--853 (2019; Zbl 1428.82018); translation from Zap. Nauchn. Semin. POMI 465, 105--134 (2017) Full Text: DOI
Derkachov, Sergey É.; Kozlowski, Karol K.; Manashov, Alexander N. On the separation of variables for the modular XXZ magnet and the lattice sinh-Gordon models. (English) Zbl 1427.82004 Ann. Henri Poincaré 20, No. 8, 2623-2670 (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B20 82D40 35Q53 PDFBibTeX XMLCite \textit{S. É. Derkachov} et al., Ann. Henri Poincaré 20, No. 8, 2623--2670 (2019; Zbl 1427.82004) Full Text: DOI arXiv Link
Derkachov, Sergey É.; Manashov, Alexander N.; Valinevich, Pavel A. \(\mathrm{SL}(2,\mathbb{C})\) Gustafson integrals. (English) Zbl 1387.81237 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 030, 16 p. (2018). MSC: 81R12 17B80 33C70 81R50 17B37 16T25 37K10 81U40 37K15 PDFBibTeX XMLCite \textit{S. É. Derkachov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 030, 16 p. (2018; Zbl 1387.81237) Full Text: DOI arXiv
Derkachov, S. É.; Manashov, A. N.; Valinevich, P. A. Gustafson integrals for \(\mathrm{SL}(2,\mathbb{C})\) spin magnet. (English) Zbl 1377.82013 J. Phys. A, Math. Theor. 50, No. 29, Article ID 294007, 12 p. (2017). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B20 82D40 PDFBibTeX XMLCite \textit{S. É. Derkachov} et al., J. Phys. A, Math. Theor. 50, No. 29, Article ID 294007, 12 p. (2017; Zbl 1377.82013) Full Text: DOI arXiv
Derkachov, S. É.; Manashov, A. N. Spin chains and Gustafson’s integrals. (English) Zbl 1377.82012 J. Phys. A, Math. Theor. 50, No. 29, Article ID 294006, 20 p. (2017). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B20 16T25 33D60 PDFBibTeX XMLCite \textit{S. É. Derkachov} and \textit{A. N. Manashov}, J. Phys. A, Math. Theor. 50, No. 29, Article ID 294006, 20 p. (2017; Zbl 1377.82012) Full Text: DOI arXiv Link
Chicherin, D.; Derkachov, S.; Isaev, A. P. Conformal algebra: R-matrix and star-triangle relation. (English) Zbl 1342.81204 J. High Energy Phys. 2013, No. 4, Paper No. 020, 049 p. (2013). MSC: 81R50 PDFBibTeX XMLCite \textit{D. Chicherin} et al., J. High Energy Phys. 2013, No. 4, Paper No. 020, 049 p. (2013; Zbl 1342.81204) Full Text: DOI arXiv
Derkachev, S. É. The \(R\)-matrix factorization, \(Q\)-operator, and variable separation in the case of the XXX spin chain with the \(SL(2,\mathbb C)\) symmetry group. (English. Russian original) Zbl 1274.82009 Theor. Math. Phys. 169, No. 2, 1539-1550 (2011); translation from Teor. Mat. Fiz. 169, No. 2, 204-217 (2011). MSC: 82B20 16T25 PDFBibTeX XMLCite \textit{S. É. Derkachev}, Theor. Math. Phys. 169, No. 2, 1539--1550 (2011; Zbl 1274.82009); translation from Teor. Mat. Fiz. 169, No. 2, 204--217 (2011) Full Text: DOI
Derkachov, S. E.; Karakhanyan, D. R.; Kirschner, R.; Valinevich, P. Iterative construction of \(U_q(\mathrm{sl}(n+1))\) representations and Lax matrix factorisation. (English) Zbl 1243.17007 Lett. Math. Phys. 85, No. 2-3, 221-234 (2008). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{S. E. Derkachov} et al., Lett. Math. Phys. 85, No. 2--3, 221--234 (2008; Zbl 1243.17007) Full Text: DOI arXiv
Belitsky, A. V.; Derkachov, S. É.; Korchemsky, G. P.; Manashov, A. N. The Baxter \(Q\)-operator for the graded \(\mathrm{SL}(2|1)\) spin chain. (English) Zbl 1456.81224 J. Stat. Mech. Theory Exp. 2007, No. 1, Paper No. P01005, 63 p. (2007). MSC: 81R12 81R50 81T60 82B23 PDFBibTeX XMLCite \textit{A. V. Belitsky} et al., J. Stat. Mech. Theory Exp. 2007, No. 1, Paper No. P01005, 63 p. (2007; Zbl 1456.81224) Full Text: DOI arXiv