Derkachov, S. E.; Sarkissian, G. A.; Spiridonov, V. P. Elliptic hypergeometric function and \(6j\)-symbols for the \(SL(2,{\mathbb C})\) group. (English. Russian original) Zbl 1516.33011 Theor. Math. Phys. 213, No. 1, 1406-1422 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 108-128 (2022). MSC: 33C80 33C45 PDFBibTeX XMLCite \textit{S. E. Derkachov} et al., Theor. Math. Phys. 213, No. 1, 1406--1422 (2022; Zbl 1516.33011); translation from Teor. Mat. Fiz. 213, No. 1, 108--128 (2022) Full Text: DOI arXiv
Derkachov, S. E.; Spiridonov, V. P. The \(6j\)-symbols for the \(SL(2,\mathbb{C})\) group. (English. Russian original) Zbl 1419.81020 Theor. Math. Phys. 198, No. 1, 29-47 (2019); translation from Teor. Mat. Fiz. 198, No. 1, 32-53 (2019). MSC: 81R05 20C35 22D10 46B28 81Q30 33C60 PDFBibTeX XMLCite \textit{S. E. Derkachov} and \textit{V. P. Spiridonov}, Theor. Math. Phys. 198, No. 1, 29--47 (2019; Zbl 1419.81020); translation from Teor. Mat. Fiz. 198, No. 1, 32--53 (2019) Full Text: DOI arXiv
Derkachev, S. E.; Faddeev, L. D. Remark on the reflection coefficient in the Liouville model. (English. Russian original) Zbl 1390.81503 Theor. Math. Phys. 192, No. 2, 1129-1133 (2017); translation from Teor. Mat. Fiz. 192, No. 2, 221-226 (2017). MSC: 81T40 PDFBibTeX XMLCite \textit{S. E. Derkachev} and \textit{L. D. Faddeev}, Theor. Math. Phys. 192, No. 2, 1129--1133 (2017; Zbl 1390.81503); translation from Teor. Mat. Fiz. 192, No. 2, 221--226 (2017) Full Text: DOI
Valinevich, P. A.; Derkachov, S. É.; Kulish, P. P.; Uvarov, E. M. Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an \(\mathrm{SL}(n,\mathbb{C})\)-invariant spin chain. (English. Russian original) Zbl 1362.82013 Theor. Math. Phys. 189, No. 2, 1529-1553 (2016); translation from Teor. Mat. Fiz. 189, No. 2, 149-175 (2016). MSC: 82B20 16T25 17B81 15A18 PDFBibTeX XMLCite \textit{P. A. Valinevich} et al., Theor. Math. Phys. 189, No. 2, 1529--1553 (2016; Zbl 1362.82013); translation from Teor. Mat. Fiz. 189, No. 2, 149--175 (2016) Full Text: DOI
Derkachov, S. E.; Spiridonov, V. P. Finite-dimensional representations of the elliptic modular double. (English. Russian original) Zbl 1328.81132 Theor. Math. Phys. 183, No. 2, 597-618 (2015); translation from Teor. Mat. Fiz. 183, No. 2, 177-201 (2015). MSC: 81R50 16T25 17B37 33C75 11F03 PDFBibTeX XMLCite \textit{S. E. Derkachov} and \textit{V. P. Spiridonov}, Theor. Math. Phys. 183, No. 2, 597--618 (2015; Zbl 1328.81132); translation from Teor. Mat. Fiz. 183, No. 2, 177--201 (2015) Full Text: DOI arXiv
Antonov, N. V.; Derkachev, S. É. To the 70th anniversary of the birth of Aleksandr Nikolaevich Vasiliev. (English. Russian original) Zbl 1294.01028 Theor. Math. Phys. 169, No. 1, 1365-1369 (2011); translation from Teor. Mat. Fiz. 169, No. 1, 3-8 (2011). MSC: 01A70 PDFBibTeX XMLCite \textit{N. V. Antonov} and \textit{S. É. Derkachev}, Theor. Math. Phys. 169, No. 1, 1365--1369 (2011; Zbl 1294.01028); translation from Teor. Mat. Fiz. 169, No. 1, 3--8 (2011) Full Text: DOI
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. È.; Manashov, A. N. Critical dimensions of composite operators in the nonlinear \(\sigma\)-model. (English. Russian original) Zbl 0952.81018 Theor. Math. Phys. 116, No. 3, 1034-1049 (1998); translation from Teor. Mat. Fiz. 116, No. 3, 379-400 (1998). MSC: 81T15 81T10 PDFBibTeX XMLCite \textit{S. È. Derkachov} and \textit{A. N. Manashov}, Theor. Math. Phys. 116, No. 3, 1034--1049 (1998; Zbl 0952.81018); translation from Teor. Mat. Fiz. 116, No. 3, 379--400 (1998) Full Text: DOI
Vasil’ev, A. N.; Vyazovskij, M. I.; Derkachev, S. È.; Kivel’, N. A. Three-loop calculation of the anomalous field dimension in the full four-fermion \(U_N\)-symmetric model. (English. Russian original) Zbl 0925.81427 Theor. Math. Phys. 107, No. 3, 710-719 (1996); translation from Teor. Mat. Fiz. 107, No. 3, 359-371 (1996). MSC: 81V35 81T17 PDFBibTeX XMLCite \textit{A. N. Vasil'ev} et al., Theor. Math. Phys. 107, No. 3, 710--719 (1996; Zbl 0925.81427); translation from Teor. Mat. Fiz. 107, No. 3, 359--371 (1996) Full Text: DOI
Vasil’ev, A. N.; Vyazovskij, M. I.; Derkachev, S. Ed.; Kivel, N. A. On the equivalence of renormalizations in standard and dimensional regularizations of 2D four-fermion interactions. (English. Russian original) Zbl 0937.81045 Theor. Math. Phys. 107, No. 1, 441-455 (1996); translation from Teor. Mat. Fiz. 107, No. 1, 27-46 (1996). MSC: 81T15 81T18 PDFBibTeX XMLCite \textit{A. N. Vasil'ev} et al., Theor. Math. Phys. 107, No. 1, 441--455 (1996; Zbl 0937.81045); translation from Teor. Mat. Fiz. 107, No. 1, 27--46 (1996) Full Text: DOI
Vasil’ev, A. N.; Derkachev, S. È.; Kivel’, N. A. A technique for calculating the \(\gamma\)-matrix structures of the diagrams of a total four-fermion interaction with infinite number of vertices in \(d=2+ \varepsilon\) dimensional regularization. (English. Russian original) Zbl 0960.81539 Theor. Math. Phys. 103, No. 2, 487-495 (1995); translation from Teor. Mat. Fiz. 103, No. 2, 179-191 (1995). MSC: 81T17 PDFBibTeX XMLCite \textit{A. N. Vasil'ev} et al., Theor. Math. Phys. 103, No. 2, 487--495 (1995; Zbl 0960.81539); translation from Teor. Mat. Fiz. 103, No. 2, 179--191 (1995) Full Text: DOI